diff --git a/.gitignore b/.gitignore
index b72664183..8d33409d5 100644
--- a/.gitignore
+++ b/.gitignore
@@ -9,6 +9,7 @@
 .mypy_cache/
 .pytest_cache/
 .ropeproject/
+.vscode/
 TAGS
 .tags
 .tox/
diff --git a/sphinx/domains/cpp.py b/sphinx/domains/cpp.py
index e09a56b06..3365bf786 100644
--- a/sphinx/domains/cpp.py
+++ b/sphinx/domains/cpp.py
@@ -10,7 +10,7 @@
 
 import re
 from typing import (
-    Any, Callable, Dict, Generator, Iterator, List, Tuple, Type, TypeVar, Union
+    Any, Callable, Dict, Generator, Iterator, List, Tuple, Type, TypeVar, Union, Optional
 )
 
 from docutils import nodes
@@ -1266,7 +1266,7 @@ class ASTNoexceptExpr(ASTExpression):
         self.expr = expr
 
     def _stringify(self, transform: StringifyTransform) -> str:
-        return "noexcept(" + transform(self.expr) + ")"
+        return 'noexcept(' + transform(self.expr) + ')'
 
     def get_id(self, version: int) -> str:
         return 'nx' + self.expr.get_id(version)
@@ -1812,10 +1812,28 @@ class ASTFunctionParameter(ASTBase):
             self.arg.describe_signature(signode, mode, env, symbol=symbol)
 
 
+class ASTNoexceptSpec(ASTBase):
+    def __init__(self, expr: Optional[ASTExpression]):
+        self.expr = expr
+
+    def _stringify(self, transform: StringifyTransform) -> str:
+        if self.expr:
+            return 'noexcept(' + transform(self.expr) + ')'
+        return 'noexcept'
+
+    def describe_signature(self, signode: TextElement, mode: str,
+                           env: "BuildEnvironment", symbol: "Symbol") -> None:
+        signode += addnodes.desc_annotation('noexcept', 'noexcept')
+        if self.expr:
+            signode.append(nodes.Text('('))
+            self.expr.describe_signature(signode, mode, env, symbol)
+            signode.append(nodes.Text(')'))
+
+
 class ASTParametersQualifiers(ASTBase):
-    def __init__(self, args: List[ASTFunctionParameter],
-                 volatile: bool, const: bool, refQual: str,
-                 exceptionSpec: str, override: bool, final: bool, initializer: str) -> None:
+    def __init__(self, args: List[ASTFunctionParameter], volatile: bool, const: bool,
+                 refQual: str, exceptionSpec: ASTNoexceptSpec, override: bool, final: bool,
+                 initializer: str) -> None:
         self.args = args
         self.volatile = volatile
         self.const = const
@@ -1874,7 +1892,7 @@ class ASTParametersQualifiers(ASTBase):
             res.append(self.refQual)
         if self.exceptionSpec:
             res.append(' ')
-            res.append(str(self.exceptionSpec))
+            res.append(transform(self.exceptionSpec))
         if self.final:
             res.append(' final')
         if self.override:
@@ -1911,7 +1929,8 @@ class ASTParametersQualifiers(ASTBase):
         if self.refQual:
             _add_text(signode, self.refQual)
         if self.exceptionSpec:
-            _add_anno(signode, str(self.exceptionSpec))
+            signode += nodes.Text(' ')
+            self.exceptionSpec.describe_signature(signode, mode, env, symbol)
         if self.final:
             _add_anno(signode, 'final')
         if self.override:
@@ -5495,11 +5514,14 @@ class DefinitionParser(BaseParser):
         initializer = None
         self.skip_ws()
         if self.skip_string('noexcept'):
-            exceptionSpec = 'noexcept'
-            self.skip_ws()
-            if self.skip_string('('):
-                self.fail('Parameterised "noexcept" not yet implemented.')
-
+            if self.skip_string_and_ws('('):
+                expr = self._parse_constant_expression(False)
+                self.skip_ws()
+                if not self.skip_string(')'):
+                    self.fail("Expecting ')' to end 'noexcept'.")
+                exceptionSpec = ASTNoexceptSpec(expr)
+            else:
+                exceptionSpec = ASTNoexceptSpec(None)
         self.skip_ws()
         override = self.skip_word_and_ws('override')
         final = self.skip_word_and_ws('final')
diff --git a/tests/test_domain_cpp.py b/tests/test_domain_cpp.py
index 0b757139a..0180a11d3 100644
--- a/tests/test_domain_cpp.py
+++ b/tests/test_domain_cpp.py
@@ -393,7 +393,7 @@ def test_function_definitions():
     x = 'std::vector<std::pair<std::string, int>> &module::test(register int ' \
         'foo, bar, std::string baz = "foobar, blah, bleh") const = 0'
     check('function', x, {1: "module::test__i.bar.ssC",
-          2: "NK6module4testEi3barNSt6stringE"})
+                          2: "NK6module4testEi3barNSt6stringE"})
     check('function', 'void f(std::pair<A, B>)',
           {1: "f__std::pair:A.B:", 2: "1fNSt4pairI1A1BEE"})
     check('function', 'explicit module::myclass::foo::foo()',
@@ -427,6 +427,10 @@ def test_function_definitions():
           {1: "get_valueCE", 2: "9get_valuev"})
     check('function', 'int get_value() const noexcept',
           {1: "get_valueC", 2: "NK9get_valueEv"})
+    check('function', 'int get_value() const noexcept(std::is_nothrow_move_constructible<T>::value)',
+          {1: "get_valueC", 2: "NK9get_valueEv"})
+    check('function', 'int get_value() const noexcept("see below")',
+          {1: "get_valueC", 2: "NK9get_valueEv"})
     check('function', 'int get_value() const noexcept = delete',
           {1: "get_valueC", 2: "NK9get_valueEv"})
     check('function', 'int get_value() volatile const',
@@ -868,7 +872,7 @@ def test_xref_parsing():
 
 
 def filter_warnings(warning, file):
-    lines = warning.getvalue().split("\n");
+    lines = warning.getvalue().split("\n")
     res = [l for l in lines if "domain-cpp" in l and "{}.rst".format(file) in l and
            "WARNING: document isn't included in any toctree" not in l]
     print("Filtered warnings for file '{}':".format(file))