diff --git a/public/app/features/alerting/unified/components/rules/EditRuleGroupModal.tsx b/public/app/features/alerting/unified/components/rules/EditRuleGroupModal.tsx
index a287ec26f4b..5ef3cf85c29 100644
--- a/public/app/features/alerting/unified/components/rules/EditRuleGroupModal.tsx
+++ b/public/app/features/alerting/unified/components/rules/EditRuleGroupModal.tsx
@@ -15,7 +15,7 @@ import { initialAsyncRequestState } from '../../utils/redux';
 import { durationValidationPattern } from '../../utils/time';
 import { EvaluationIntervalLimitExceeded } from '../InvalidIntervalWarning';
 
-interface Props {
+interface ModalProps {
   namespace: CombinedRuleNamespace;
   group: CombinedRuleGroup;
   onClose: () => void;
@@ -27,7 +27,7 @@ interface FormValues {
   groupInterval: string;
 }
 
-export function EditCloudGroupModal(props: Props): React.ReactElement {
+export function EditCloudGroupModal(props: ModalProps): React.ReactElement {
   const { namespace, group, onClose } = props;
   const styles = useStyles2(getStyles);
   const dispatch = useDispatch();
diff --git a/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.test.tsx b/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.test.tsx
new file mode 100644
index 00000000000..8744867ab72
--- /dev/null
+++ b/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.test.tsx
@@ -0,0 +1,11 @@
+import { reorder } from './ReorderRuleGroupModal';
+
+describe('test reorder', () => {
+  it('should reorder arrays', () => {
+    const original = [1, 2, 3];
+    const expected = [1, 3, 2];
+
+    expect(reorder(original, 1, 2)).toEqual(expected);
+    expect(original).not.toEqual(expected); // make sure we've not mutated the original
+  });
+});
diff --git a/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.tsx b/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.tsx
new file mode 100644
index 00000000000..439ed416cca
--- /dev/null
+++ b/public/app/features/alerting/unified/components/rules/ReorderRuleGroupModal.tsx
@@ -0,0 +1,230 @@
+import { css } from '@emotion/css';
+import cx from 'classnames';
+import { compact } from 'lodash';
+import React, { FC, useCallback, useState } from 'react';
+import {
+  DragDropContext,
+  Draggable,
+  DraggableProvided,
+  Droppable,
+  DroppableProvided,
+  DropResult,
+} from 'react-beautiful-dnd';
+
+import { GrafanaTheme2 } from '@grafana/data';
+import { Badge, Icon, Modal, Tooltip, useStyles2 } from '@grafana/ui';
+import { dispatch } from 'app/store/store';
+import { CombinedRule, CombinedRuleGroup, CombinedRuleNamespace } from 'app/types/unified-alerting';
+
+import { updateRulesOrder } from '../../state/actions';
+import { getRulesSourceName, isCloudRulesSource } from '../../utils/datasource';
+import { hashRulerRule } from '../../utils/rule-id';
+import { isAlertingRule, isRecordingRule } from '../../utils/rules';
+
+import { AlertStateTag } from './AlertStateTag';
+
+interface ModalProps {
+  namespace: CombinedRuleNamespace;
+  group: CombinedRuleGroup;
+  onClose: () => void;
+}
+
+type CombinedRuleWithUID = { uid: string } & CombinedRule;
+
+export const ReorderCloudGroupModal: FC<ModalProps> = (props) => {
+  const { group, namespace, onClose } = props;
+  const [pending, setPending] = useState<boolean>(false);
+  const [rulesList, setRulesList] = useState<CombinedRule[]>(group.rules);
+
+  const styles = useStyles2(getStyles);
+
+  const onDragEnd = useCallback(
+    (result: DropResult) => {
+      // check for no-ops so we don't update the group unless we have changes
+      if (!result.destination) {
+        return;
+      }
+
+      const sameIndex = result.destination.index === result.source.index;
+      if (sameIndex) {
+        return;
+      }
+
+      const newOrderedRules = reorder(rulesList, result.source.index, result.destination.index);
+      setRulesList(newOrderedRules); // optimistically update the new rules list
+
+      const rulesSourceName = getRulesSourceName(namespace.rulesSource);
+      const rulerRules = compact(newOrderedRules.map((rule) => rule.rulerRule));
+
+      setPending(true);
+      dispatch(
+        updateRulesOrder({
+          namespaceName: namespace.name,
+          groupName: group.name,
+          rulesSourceName: rulesSourceName,
+          newRules: rulerRules,
+        })
+      )
+        .unwrap()
+        .finally(() => {
+          setPending(false);
+        });
+    },
+    [group.name, namespace.name, namespace.rulesSource, rulesList]
+  );
+
+  // assign unique but stable identifiers to each (alerting / recording) rule
+  const rulesWithUID: CombinedRuleWithUID[] = rulesList.map((rule) => ({
+    ...rule,
+    uid: String(hashRulerRule(rule.rulerRule!)), // TODO fix this coercion?
+  }));
+
+  return (
+    <Modal
+      className={styles.modal}
+      isOpen={true}
+      title={<ModalHeader namespace={namespace} group={group} />}
+      onDismiss={onClose}
+      onClickBackdrop={onClose}
+    >
+      <DragDropContext onDragEnd={onDragEnd}>
+        <Droppable
+          droppableId="alert-list"
+          mode="standard"
+          renderClone={(provided, _snapshot, rubric) => (
+            <ListItem provided={provided} rule={rulesWithUID[rubric.source.index]} isClone />
+          )}
+        >
+          {(droppableProvided: DroppableProvided) => (
+            <div
+              ref={droppableProvided.innerRef}
+              className={cx(styles.listContainer, pending && styles.disabled)}
+              {...droppableProvided.droppableProps}
+            >
+              {rulesWithUID.map((rule, index) => (
+                <Draggable key={rule.uid} draggableId={rule.uid} index={index} isDragDisabled={pending}>
+                  {(provided: DraggableProvided) => <ListItem key={rule.uid} provided={provided} rule={rule} />}
+                </Draggable>
+              ))}
+              {droppableProvided.placeholder}
+            </div>
+          )}
+        </Droppable>
+      </DragDropContext>
+    </Modal>
+  );
+};
+
+interface ListItemProps extends React.HTMLAttributes<HTMLDivElement> {
+  provided: DraggableProvided;
+  rule: CombinedRule;
+  isClone?: boolean;
+  isDragging?: boolean;
+}
+
+const ListItem = ({ provided, rule, isClone = false, isDragging = false }: ListItemProps) => {
+  const styles = useStyles2(getStyles);
+
+  return (
+    <div
+      className={cx(styles.listItem, isClone && 'isClone', isDragging && 'isDragging')}
+      ref={provided.innerRef}
+      {...provided.draggableProps}
+      {...provided.dragHandleProps}
+    >
+      {isAlertingRule(rule.promRule) && <AlertStateTag state={rule.promRule.state} />}
+      {isRecordingRule(rule.promRule) && <Badge text={'Recording'} color={'blue'} />}
+      <div className={styles.listItemName}>{rule.name}</div>
+      <Icon name={'draggabledots'} />
+    </div>
+  );
+};
+
+interface ModalHeaderProps {
+  namespace: CombinedRuleNamespace;
+  group: CombinedRuleGroup;
+}
+
+const ModalHeader: FC<ModalHeaderProps> = ({ namespace, group }) => {
+  const styles = useStyles2(getStyles);
+
+  return (
+    <div className={styles.header}>
+      <Icon name="folder" />
+      {isCloudRulesSource(namespace.rulesSource) && (
+        <Tooltip content={namespace.rulesSource.name} placement="top">
+          <img
+            alt={namespace.rulesSource.meta.name}
+            className={styles.dataSourceIcon}
+            src={namespace.rulesSource.meta.info.logos.small}
+          />
+        </Tooltip>
+      )}
+      <span>{namespace.name}</span>
+      <Icon name="angle-right" />
+      <span>{group.name}</span>
+    </div>
+  );
+};
+
+const getStyles = (theme: GrafanaTheme2) => ({
+  modal: css`
+    max-width: 640px;
+    max-height: 80%;
+    overflow: hidden;
+  `,
+  listItem: css`
+    display: flex;
+    flex-direction: row;
+    align-items: center;
+
+    gap: ${theme.spacing()};
+
+    background: ${theme.colors.background.primary};
+    color: ${theme.colors.text.secondary};
+
+    border-bottom: solid 1px ${theme.colors.border.medium};
+    padding: ${theme.spacing(1)} ${theme.spacing(2)};
+
+    &:last-child {
+      border-bottom: none;
+    }
+
+    &.isClone {
+      border: solid 1px ${theme.colors.primary.shade};
+    }
+  `,
+  listContainer: css`
+    user-select: none;
+    border: solid 1px ${theme.colors.border.medium};
+  `,
+  disabled: css`
+    opacity: 0.5;
+    pointer-events: none;
+  `,
+  listItemName: css`
+    flex: 1;
+
+    overflow: hidden;
+    text-overflow: ellipsis;
+    white-space: nowrap;
+  `,
+  header: css`
+    display: flex;
+    align-items: center;
+
+    gap: ${theme.spacing(1)};
+  `,
+  dataSourceIcon: css`
+    width: ${theme.spacing(2)};
+    height: ${theme.spacing(2)};
+  `,
+});
+
+export function reorder<T>(rules: T[], startIndex: number, endIndex: number): T[] {
+  const result = Array.from(rules);
+  const [removed] = result.splice(startIndex, 1);
+  result.splice(endIndex, 0, removed);
+
+  return result;
+}
diff --git a/public/app/features/alerting/unified/components/rules/RulesGroup.tsx b/public/app/features/alerting/unified/components/rules/RulesGroup.tsx
index 161b3211c32..ccf274847b6 100644
--- a/public/app/features/alerting/unified/components/rules/RulesGroup.tsx
+++ b/public/app/features/alerting/unified/components/rules/RulesGroup.tsx
@@ -19,6 +19,7 @@ import { RuleLocation } from '../RuleLocation';
 
 import { ActionIcon } from './ActionIcon';
 import { EditCloudGroupModal } from './EditRuleGroupModal';
+import { ReorderCloudGroupModal } from './ReorderRuleGroupModal';
 import { RuleStats } from './RuleStats';
 import { RulesTable } from './RulesTable';
 
@@ -38,6 +39,7 @@ export const RulesGroup: FC<Props> = React.memo(({ group, namespace, expandAll,
 
   const [isEditingGroup, setIsEditingGroup] = useState(false);
   const [isDeletingGroup, setIsDeletingGroup] = useState(false);
+  const [isReorderingGroup, setIsReorderingGroup] = useState(false);
   const [isCollapsed, setIsCollapsed] = useState(!expandAll);
 
   const { canEditRules } = useRulesAccess();
@@ -95,6 +97,17 @@ export const RulesGroup: FC<Props> = React.memo(({ group, namespace, expandAll,
               onClick={() => setIsEditingGroup(true)}
             />
           );
+          actionIcons.push(
+            <ActionIcon
+              aria-label="re-order rules"
+              data-testid="reorder-group"
+              key="reorder"
+              icon="exchange-alt"
+              tooltip="reorder rules"
+              className={styles.rotate90}
+              onClick={() => setIsReorderingGroup(true)}
+            />
+          );
         }
         if (isListView) {
           actionIcons.push(
@@ -134,6 +147,17 @@ export const RulesGroup: FC<Props> = React.memo(({ group, namespace, expandAll,
           onClick={() => setIsEditingGroup(true)}
         />
       );
+      actionIcons.push(
+        <ActionIcon
+          aria-label="re-order rules"
+          data-testid="reorder-group"
+          key="reorder"
+          icon="exchange-alt"
+          tooltip="re-order rules"
+          className={styles.rotate90}
+          onClick={() => setIsReorderingGroup(true)}
+        />
+      );
     }
 
     actionIcons.push(
@@ -194,6 +218,9 @@ export const RulesGroup: FC<Props> = React.memo(({ group, namespace, expandAll,
       {isEditingGroup && (
         <EditCloudGroupModal group={group} namespace={namespace} onClose={() => setIsEditingGroup(false)} />
       )}
+      {isReorderingGroup && (
+        <ReorderCloudGroupModal group={group} namespace={namespace} onClose={() => setIsReorderingGroup(false)} />
+      )}
       <ConfirmModal
         isOpen={isDeletingGroup}
         title="Delete group"
@@ -278,4 +305,7 @@ export const getStyles = (theme: GrafanaTheme2) => ({
   rulesTable: css`
     margin-top: ${theme.spacing(3)};
   `,
+  rotate90: css`
+    transform: rotate(90deg);
+  `,
 });
diff --git a/public/app/features/alerting/unified/state/actions.ts b/public/app/features/alerting/unified/state/actions.ts
index b64a801fbdd..946118b3096 100644
--- a/public/app/features/alerting/unified/state/actions.ts
+++ b/public/app/features/alerting/unified/state/actions.ts
@@ -25,7 +25,12 @@ import {
   RuleWithLocation,
   StateHistoryItem,
 } from 'app/types/unified-alerting';
-import { PromApplication, RulerRulesConfigDTO } from 'app/types/unified-alerting-dto';
+import {
+  PostableRulerRuleGroupDTO,
+  PromApplication,
+  RulerRuleDTO,
+  RulerRulesConfigDTO,
+} from 'app/types/unified-alerting-dto';
 
 import { backendSrv } from '../../../../core/services/backend_srv';
 import {
@@ -751,6 +756,48 @@ export const updateLotexNamespaceAndGroupAction = createAsyncThunk(
   }
 );
 
+interface UpdateRulesOrderOptions {
+  rulesSourceName: string;
+  namespaceName: string;
+  groupName: string;
+  newRules: RulerRuleDTO[];
+}
+
+export const updateRulesOrder = createAsyncThunk(
+  'unifiedalerting/updateRulesOrderForGroup',
+  async (options: UpdateRulesOrderOptions, thunkAPI): Promise<void> => {
+    return withAppEvents(
+      withSerializedError(
+        (async () => {
+          const { rulesSourceName, namespaceName, groupName, newRules } = options;
+
+          const rulerConfig = getDataSourceRulerConfig(thunkAPI.getState, rulesSourceName);
+          const rulesResult = await fetchRulerRules(rulerConfig);
+
+          const existingGroup = rulesResult[namespaceName].find((group) => group.name === groupName);
+          if (!existingGroup) {
+            throw new Error(`Group "${groupName}" not found.`);
+          }
+
+          const payload: PostableRulerRuleGroupDTO = {
+            name: existingGroup.name,
+            interval: existingGroup.interval,
+            rules: newRules,
+          };
+
+          await setRulerRuleGroup(rulerConfig, namespaceName, payload);
+
+          await thunkAPI.dispatch(fetchRulerRulesAction({ rulesSourceName }));
+        })()
+      ),
+      {
+        errorMessage: 'Failed to update namespace / group',
+        successMessage: 'Update successful',
+      }
+    );
+  }
+);
+
 export const addExternalAlertmanagersAction = createAsyncThunk(
   'unifiedAlerting/addExternalAlertmanagers',
   async (alertmanagerConfig: ExternalAlertmanagerConfig, thunkAPI): Promise<void> => {
diff --git a/public/app/features/alerting/unified/utils/__snapshots__/rule-id.test.ts.snap b/public/app/features/alerting/unified/utils/__snapshots__/rule-id.test.ts.snap
new file mode 100644
index 00000000000..1e03e1424dd
--- /dev/null
+++ b/public/app/features/alerting/unified/utils/__snapshots__/rule-id.test.ts.snap
@@ -0,0 +1,5 @@
+// Jest Snapshot v1, https://goo.gl/fbAQLP
+
+exports[`hashRulerRule should hash alerting rule 1`] = `"1465866290"`;
+
+exports[`hashRulerRule should hash recording rules 1`] = `"2044193757"`;
diff --git a/public/app/features/alerting/unified/utils/rule-id.test.ts b/public/app/features/alerting/unified/utils/rule-id.test.ts
new file mode 100644
index 00000000000..da4f98326b2
--- /dev/null
+++ b/public/app/features/alerting/unified/utils/rule-id.test.ts
@@ -0,0 +1,62 @@
+import {
+  GrafanaAlertStateDecision,
+  GrafanaRuleDefinition,
+  RulerAlertingRuleDTO,
+  RulerGrafanaRuleDTO,
+  RulerRecordingRuleDTO,
+} from 'app/types/unified-alerting-dto';
+
+import { hashRulerRule } from './rule-id';
+
+describe('hashRulerRule', () => {
+  it('should not hash unknown rule types', () => {
+    const unknownRule = {};
+
+    expect(() => {
+      // @ts-ignore
+      hashRulerRule(unknownRule);
+    }).toThrowError();
+  });
+  it('should hash recording rules', () => {
+    const recordingRule: RulerRecordingRuleDTO = {
+      record: 'instance:node_num_cpu:sum',
+      expr: 'count without (cpu) (count without (mode) (node_cpu_seconds_total{job="integrations/node_exporter"}))',
+      labels: { type: 'cpu' },
+    };
+
+    expect(hashRulerRule(recordingRule)).toMatchSnapshot();
+  });
+
+  it('should hash alerting rule', () => {
+    const alertingRule: RulerAlertingRuleDTO = {
+      alert: 'always-alerting',
+      expr: 'vector(20) > 7',
+      labels: { type: 'cpu' },
+      annotations: { description: 'CPU usage too high' },
+    };
+
+    expect(hashRulerRule(alertingRule)).toMatchSnapshot();
+  });
+
+  it('should hash Grafana Managed rules', () => {
+    const RULE_UID = 'abcdef12345';
+    const grafanaAlertDefinition: GrafanaRuleDefinition = {
+      uid: RULE_UID,
+      namespace_uid: 'namespace',
+      namespace_id: 0,
+      title: 'my rule',
+      condition: '',
+      data: [],
+      no_data_state: GrafanaAlertStateDecision.NoData,
+      exec_err_state: GrafanaAlertStateDecision.Alerting,
+    };
+    const grafanaRule: RulerGrafanaRuleDTO = {
+      grafana_alert: grafanaAlertDefinition,
+      for: '30s',
+      labels: { type: 'cpu' },
+      annotations: { description: 'CPU usage too high' },
+    };
+
+    expect(hashRulerRule(grafanaRule)).toBe(RULE_UID);
+  });
+});
diff --git a/public/app/features/alerting/unified/utils/rule-id.ts b/public/app/features/alerting/unified/utils/rule-id.ts
index 8a8a355063b..af8a005041b 100644
--- a/public/app/features/alerting/unified/utils/rule-id.ts
+++ b/public/app/features/alerting/unified/utils/rule-id.ts
@@ -107,11 +107,11 @@ export function parse(value: string, decodeFromUri = false): RuleIdentifier {
     const [prefix, ruleSourceName, namespace, groupName, hash] = parts.map(unesacapeDollars);
 
     if (prefix === cloudRuleIdentifierPrefix) {
-      return { ruleSourceName, namespace, groupName, rulerRuleHash: Number(hash) };
+      return { ruleSourceName, namespace, groupName, rulerRuleHash: hash };
     }
 
     if (prefix === prometheusRuleIdentifierPrefix) {
-      return { ruleSourceName, namespace, groupName, ruleHash: Number(hash) };
+      return { ruleSourceName, namespace, groupName, ruleHash: hash };
     }
   }
 
@@ -173,10 +173,10 @@ function hash(value: string): number {
   return hash;
 }
 
-// this is used to identify lotex rules, as they do not have a unique identifier
-function hashRulerRule(rule: RulerRuleDTO): number {
+// this is used to identify rules, mimir / loki rules do not have a unique identifier
+export function hashRulerRule(rule: RulerRuleDTO): string {
   if (isRecordingRulerRule(rule)) {
-    return hash(JSON.stringify([rule.record, rule.expr, hashLabelsOrAnnotations(rule.labels)]));
+    return hash(JSON.stringify([rule.record, rule.expr, hashLabelsOrAnnotations(rule.labels)])).toString();
   } else if (isAlertingRulerRule(rule)) {
     return hash(
       JSON.stringify([
@@ -185,15 +185,17 @@ function hashRulerRule(rule: RulerRuleDTO): number {
         hashLabelsOrAnnotations(rule.annotations),
         hashLabelsOrAnnotations(rule.labels),
       ])
-    );
+    ).toString();
+  } else if (isGrafanaRulerRule(rule)) {
+    return rule.grafana_alert.uid;
   } else {
     throw new Error('only recording and alerting ruler rules can be hashed');
   }
 }
 
-function hashRule(rule: Rule): number {
+function hashRule(rule: Rule): string {
   if (isRecordingRule(rule)) {
-    return hash(JSON.stringify([rule.type, rule.query, hashLabelsOrAnnotations(rule.labels)]));
+    return hash(JSON.stringify([rule.type, rule.query, hashLabelsOrAnnotations(rule.labels)])).toString();
   }
 
   if (isAlertingRule(rule)) {
@@ -204,7 +206,7 @@ function hashRule(rule: Rule): number {
         hashLabelsOrAnnotations(rule.annotations),
         hashLabelsOrAnnotations(rule.labels),
       ])
-    );
+    ).toString();
   }
 
   throw new Error('only recording and alerting rules can be hashed');
diff --git a/public/app/features/alerting/unified/utils/rules.ts b/public/app/features/alerting/unified/utils/rules.ts
index 615137312bf..3a2aa8b8884 100644
--- a/public/app/features/alerting/unified/utils/rules.ts
+++ b/public/app/features/alerting/unified/utils/rules.ts
@@ -35,8 +35,8 @@ export function isAlertingRule(rule: Rule | undefined): rule is AlertingRule {
   return typeof rule === 'object' && rule.type === PromRuleType.Alerting;
 }
 
-export function isRecordingRule(rule: Rule): rule is RecordingRule {
-  return rule.type === PromRuleType.Recording;
+export function isRecordingRule(rule: Rule | undefined): rule is RecordingRule {
+  return typeof rule === 'object' && rule.type === PromRuleType.Recording;
 }
 
 export function isAlertingRulerRule(rule?: RulerRuleDTO): rule is RulerAlertingRuleDTO {
diff --git a/public/app/types/unified-alerting.ts b/public/app/types/unified-alerting.ts
index e8e0427ad94..13037fd637b 100644
--- a/public/app/types/unified-alerting.ts
+++ b/public/app/types/unified-alerting.ts
@@ -122,7 +122,7 @@ export interface CloudRuleIdentifier {
   ruleSourceName: string;
   namespace: string;
   groupName: string;
-  rulerRuleHash: number;
+  rulerRuleHash: string;
 }
 export interface GrafanaRuleIdentifier {
   ruleSourceName: 'grafana';
@@ -134,7 +134,7 @@ export interface PrometheusRuleIdentifier {
   ruleSourceName: string;
   namespace: string;
   groupName: string;
-  ruleHash: number;
+  ruleHash: string;
 }
 
 export type RuleIdentifier = CloudRuleIdentifier | GrafanaRuleIdentifier | PrometheusRuleIdentifier;