diff --git a/CHANGES b/CHANGES
index 0e0998c32..687f73f39 100644
--- a/CHANGES
+++ b/CHANGES
@@ -7,6 +7,8 @@ Dependencies
 Incompatible changes
 --------------------
 
+* texinfo: image files are copied into ``name-figure`` directory
+
 Deprecated
 ----------
 
@@ -22,6 +24,7 @@ Bugs fixed
 * #5508: ``linenothreshold`` option for ``highlight`` directive was ignored
 * texinfo: ``make install-info`` causes syntax error
 * texinfo: ``make install-info`` fails on macOS
+* #3079: texinfo: image files are not copied on ``make install-info``
 
 Testing
 --------
diff --git a/sphinx/builders/texinfo.py b/sphinx/builders/texinfo.py
index 2655d7a0b..3b2816e77 100644
--- a/sphinx/builders/texinfo.py
+++ b/sphinx/builders/texinfo.py
@@ -27,7 +27,7 @@ from sphinx.util.console import darkgreen  # type: ignore
 from sphinx.util.docutils import new_document
 from sphinx.util.fileutil import copy_asset_file
 from sphinx.util.nodes import inline_all_toctrees
-from sphinx.util.osutil import SEP, make_filename_from_project
+from sphinx.util.osutil import SEP, ensuredir, make_filename_from_project
 from sphinx.writers.texinfo import TexinfoWriter, TexinfoTranslator
 
 if False:
@@ -134,6 +134,7 @@ class TexinfoBuilder(Builder):
                 settings.docname = docname
                 doctree.settings = settings
                 docwriter.write(doctree, destination)
+                self.copy_image_files(targetname[:-5])
 
     def assemble_doctree(self, indexfile, toctree_only, appendices):
         # type: (str, bool, List[str]) -> nodes.document
@@ -180,11 +181,10 @@ class TexinfoBuilder(Builder):
 
     def finish(self):
         # type: () -> None
-        self.copy_image_files()
         self.copy_support_files()
 
-    def copy_image_files(self):
-        # type: () -> None
+    def copy_image_files(self, targetname):
+        # type: (str) -> None
         if self.images:
             stringify_func = ImageAdapter(self.app.env).get_original_image_uri
             for src in status_iterator(self.images, __('copying images... '), "brown",
@@ -192,8 +192,9 @@ class TexinfoBuilder(Builder):
                                        stringify_func=stringify_func):
                 dest = self.images[src]
                 try:
-                    copy_asset_file(path.join(self.srcdir, src),
-                                    path.join(self.outdir, dest))
+                    imagedir = path.join(self.outdir, targetname + '-figures')
+                    ensuredir(imagedir)
+                    copy_asset_file(path.join(self.srcdir, dest), imagedir)
                 except Exception as err:
                     logger.warning(__('cannot copy image file %r: %s'),
                                    path.join(self.srcdir, src), err)
diff --git a/sphinx/templates/texinfo/Makefile b/sphinx/templates/texinfo/Makefile
index 8befee3ca..e3b732cda 100644
--- a/sphinx/templates/texinfo/Makefile
+++ b/sphinx/templates/texinfo/Makefile
@@ -20,12 +20,18 @@ install-info: info
 	for f in *.info; do \
 	  mkdir -p $(infodir) && \
 	  cp "$$f" $(infodir) && \
-	  $(INSTALL_INFO) --info-dir=$(infodir) "$$f" ; \
+	  $(INSTALL_INFO) --info-dir=$(infodir) "$$f" && \
+	  \
+	  FIGURE_DIR="`basename \"$$f\" .info`-figures" && \
+	  if [ -e "$$FIGURE_DIR" ]; then \
+	    cp -r "$$FIGURE_DIR" $(infodir) ; \
+	  fi; \
 	done
 
 uninstall-info: info
 	for f in *.info; do \
 	  rm -f "$(infodir)/$$f"  ; \
+	  rm -rf "$(infodir)/`basename '$$f' .info`-figures" && \
 	  $(INSTALL_INFO) --delete --info-dir=$(infodir) "$$f" ; \
 	done
 
diff --git a/sphinx/writers/texinfo.py b/sphinx/writers/texinfo.py
index ede48ec60..4262ccd66 100644
--- a/sphinx/writers/texinfo.py
+++ b/sphinx/writers/texinfo.py
@@ -1355,8 +1355,9 @@ class TexinfoTranslator(SphinxTranslator):
         width = self.tex_image_length(attrs.get('width', ''))
         height = self.tex_image_length(attrs.get('height', ''))
         alt = self.escape_arg(attrs.get('alt', ''))
+        filename = "%s-figures/%s" % (self.elements['filename'][:-5], name)  # type: ignore
         self.body.append('\n@image{%s,%s,%s,%s,%s}\n' %
-                         (name, width, height, alt, ext[1:]))
+                         (filename, width, height, alt, ext[1:]))
 
     def depart_image(self, node):
         # type: (nodes.Element) -> None