diff --git a/CHANGES.rst b/CHANGES.rst
index ac359fc8cba..0d1f493bae4 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -69,7 +69,6 @@ Features added
     parses the provided text into inline elements and text nodes.
 
   Patch by Adam Turner.
-
 * #12258: Support ``typing_extensions.Unpack``
   Patch by Bénédikt Tran and Adam Turner.
 * #12524: Add a ``class`` option to the :rst:dir:`toctree` directive.
@@ -98,6 +97,9 @@ Features added
 * #12508: LaTeX: Revamped styling of all admonitions, with addition of a
   title row with icon.
   Patch by Jean-François B.
+* #11773: Display :py:class:`~typing.Annotated` annotations
+  with their metadata in the Python domain.
+  Patch by Adam Turner and David Stansby.
 
 Bugs fixed
 ----------
diff --git a/sphinx/util/typing.py b/sphinx/util/typing.py
index f19e054b30a..28ca86490b5 100644
--- a/sphinx/util/typing.py
+++ b/sphinx/util/typing.py
@@ -261,6 +261,14 @@ def restify(cls: Any, mode: _RestifyMode = 'fully-qualified-except-typing') -> s
             # evaluated before determining whether *cls* is a mocked object
             # or not; instead of two try-except blocks, we keep it here.
             return f':py:class:`{module_prefix}{_INVALID_BUILTIN_CLASSES[cls]}`'
+        elif _is_annotated_form(cls):
+            args = restify(cls.__args__[0], mode)
+            meta = ', '.join(map(repr, cls.__metadata__))
+            if sys.version_info[:2] <= (3, 11):
+                # Hardcoded to fix errors on Python 3.11 and earlier.
+                return fr':py:class:`~typing.Annotated`\ [{args}, {meta}]'
+            return (f':py:class:`{module_prefix}{cls.__module__}.{cls.__name__}`'
+                    fr'\ [{args}, {meta}]')
         elif inspect.isNewType(cls):
             if sys.version_info[:2] >= (3, 10):
                 # newtypes have correct module info since Python 3.10+
@@ -497,7 +505,14 @@ def stringify_annotation(
                              for a in annotation_args)
             return f'{module_prefix}Literal[{args}]'
         elif _is_annotated_form(annotation):  # for py39+
-            return stringify_annotation(annotation_args[0], mode)
+            args = stringify_annotation(annotation_args[0], mode)
+            meta = ', '.join(map(repr, annotation.__metadata__))
+            if sys.version_info[:2] <= (3, 11):
+                if mode == 'fully-qualified-except-typing':
+                    return f'Annotated[{args}, {meta}]'
+                module_prefix = module_prefix.replace('builtins', 'typing')
+                return f'{module_prefix}Annotated[{args}, {meta}]'
+            return f'{module_prefix}Annotated[{args}, {meta}]'
         elif all(is_system_TypeVar(a) for a in annotation_args):
             # Suppress arguments if all system defined TypeVars (ex. Dict[KT, VT])
             return module_prefix + qualname
diff --git a/tests/test_util/test_util_typing.py b/tests/test_util/test_util_typing.py
index 2873bb1a19c..044b4599058 100644
--- a/tests/test_util/test_util_typing.py
+++ b/tests/test_util/test_util_typing.py
@@ -1,5 +1,6 @@
 """Tests util.typing functions."""
 
+import dataclasses
 import sys
 import typing as t
 from collections import abc
@@ -73,6 +74,11 @@ class BrokenType:
     __args__ = int
 
 
+@dataclasses.dataclass(frozen=True)
+class Gt:
+    gt: float
+
+
 def test_restify():
     assert restify(int) == ":py:class:`int`"
     assert restify(int, "smart") == ":py:class:`int`"
@@ -187,10 +193,11 @@ def test_restify_type_hints_containers():
                                            "[:py:obj:`None`]")
 
 
-@pytest.mark.xfail(sys.version_info[:2] <= (3, 11), reason='Needs fixing.')
 def test_restify_Annotated():
-    assert restify(Annotated[str, "foo", "bar"]) == ':py:class:`~typing.Annotated`\\ [:py:class:`str`]'
-    assert restify(Annotated[str, "foo", "bar"], 'smart') == ':py:class:`~typing.Annotated`\\ [:py:class:`str`]'
+    assert restify(Annotated[str, "foo", "bar"]) == ":py:class:`~typing.Annotated`\\ [:py:class:`str`, 'foo', 'bar']"
+    assert restify(Annotated[str, "foo", "bar"], 'smart') == ":py:class:`~typing.Annotated`\\ [:py:class:`str`, 'foo', 'bar']"
+    assert restify(Annotated[float, Gt(-10.0)]) == ':py:class:`~typing.Annotated`\\ [:py:class:`float`, Gt(gt=-10.0)]'
+    assert restify(Annotated[float, Gt(-10.0)], 'smart') == ':py:class:`~typing.Annotated`\\ [:py:class:`float`, Gt(gt=-10.0)]'
 
 
 def test_restify_type_hints_Callable():
@@ -499,9 +506,12 @@ def test_stringify_type_hints_pep_585():
     assert stringify_annotation(tuple[List[dict[int, str]], str, ...], "smart") == "tuple[~typing.List[dict[int, str]], str, ...]"
 
 
+@pytest.mark.xfail(sys.version_info[:2] <= (3, 9), reason='Needs fixing.')
 def test_stringify_Annotated():
-    assert stringify_annotation(Annotated[str, "foo", "bar"], 'fully-qualified-except-typing') == "str"
-    assert stringify_annotation(Annotated[str, "foo", "bar"], "smart") == "str"
+    assert stringify_annotation(Annotated[str, "foo", "bar"], 'fully-qualified-except-typing') == "Annotated[str, 'foo', 'bar']"
+    assert stringify_annotation(Annotated[str, "foo", "bar"], 'smart') == "~typing.Annotated[str, 'foo', 'bar']"
+    assert stringify_annotation(Annotated[float, Gt(-10.0)], 'fully-qualified-except-typing') == "Annotated[float, Gt(gt=-10.0)]"
+    assert stringify_annotation(Annotated[float, Gt(-10.0)], 'smart') == "~typing.Annotated[float, Gt(gt=-10.0)]"
 
 
 def test_stringify_Unpack():
@@ -662,7 +672,6 @@ def test_stringify_type_hints_alias():
 
 
 def test_stringify_type_Literal():
-    from typing import Literal  # type: ignore[attr-defined]
     assert stringify_annotation(Literal[1, "2", "\r"], 'fully-qualified-except-typing') == "Literal[1, '2', '\\r']"
     assert stringify_annotation(Literal[1, "2", "\r"], "fully-qualified") == "typing.Literal[1, '2', '\\r']"
     assert stringify_annotation(Literal[1, "2", "\r"], "smart") == "~typing.Literal[1, '2', '\\r']"
@@ -704,8 +713,6 @@ def test_stringify_mock():
 
 
 def test_stringify_type_ForwardRef():
-    from typing import ForwardRef  # type: ignore[attr-defined]
-
     assert stringify_annotation(ForwardRef("MyInt")) == "MyInt"
     assert stringify_annotation(ForwardRef("MyInt"), 'smart') == "MyInt"