diff --git a/HISTORY.md b/HISTORY.md
index 7454dbe7..82c963fc 100644
--- a/HISTORY.md
+++ b/HISTORY.md
@@ -22,14 +22,17 @@ Our backwards-compatibility policy can be found [here](https://github.com/python
 - [`typing.Self`](https://docs.python.org/3/library/typing.html#typing.Self) is now supported in _attrs_ classes, dataclasses, TypedDicts and the dict NamedTuple factories.
   See [`typing.Self`](https://catt.rs/en/latest/defaulthooks.html#typing-self) for details.
   ([#299](https://github.com/python-attrs/cattrs/issues/299) [#627](https://github.com/python-attrs/cattrs/pull/627))
-- PEP 695 type aliases can now be used with {meth}`Converter.register_structure_hook` and {meth}`Converter.register_unstructure_hook`.
-  Previously, they required the use of {meth}`Converter.register_structure_hook_func` (which is still supported).
+- PEP 695 type aliases can now be used with {meth}`BaseConverter.register_structure_hook` and {meth}`BaseConverter.register_unstructure_hook`.
+  Previously, they required the use of {meth}`BaseConverter.register_structure_hook_func` (which is still supported).
+  ([#647](https://github.com/python-attrs/cattrs/pull/647))
 - Expose {func}`cattrs.cols.mapping_unstructure_factory` through {mod}`cattrs.cols`.
 - Some `defaultdicts` are now [supported by default](https://catt.rs/en/latest/defaulthooks.html#defaultdicts), and
   {func}`cattrs.cols.is_defaultdict` and {func}`cattrs.cols.defaultdict_structure_factory` are exposed through {mod}`cattrs.cols`.
   ([#519](https://github.com/python-attrs/cattrs/issues/519) [#588](https://github.com/python-attrs/cattrs/pull/588))
 - Generic PEP 695 type aliases are now supported.
   ([#611](https://github.com/python-attrs/cattrs/issues/611) [#618](https://github.com/python-attrs/cattrs/pull/618))
+- The [tagged union strategy](https://catt.rs/en/stable/strategies.html#tagged-unions-strategy) now also supports type aliases of unions.
+  ([#649](https://github.com/python-attrs/cattrs/pull/649))
 - {meth}`Converter.copy` and {meth}`BaseConverter.copy` are correctly annotated as returning `Self`.
   ([#644](https://github.com/python-attrs/cattrs/pull/644))
 - Many preconf converters (_bson_, stdlib JSON, _cbor2_, _msgpack_, _msgspec_, _orjson_, _ujson_) skip unstructuring `int` and `str` enums,
diff --git a/docs/strategies.md b/docs/strategies.md
index e4ba639a..56b7ddde 100644
--- a/docs/strategies.md
+++ b/docs/strategies.md
@@ -67,6 +67,10 @@ This also means union members can be reused in multiple unions easily.
 {'a': 1}
 ```
 
+```{versionchanged} 25.1.0
+The strategy can also be called with a type alias of a union.
+```
+
 ### Real-life Case Study
 
 The Apple App Store supports [server callbacks](https://developer.apple.com/documentation/appstoreservernotifications), by which Apple sends a JSON payload to a URL of your choice.
diff --git a/src/cattrs/strategies/_unions.py b/src/cattrs/strategies/_unions.py
index 3ef4ebdf..57e132d0 100644
--- a/src/cattrs/strategies/_unions.py
+++ b/src/cattrs/strategies/_unions.py
@@ -3,8 +3,9 @@
 
 from attrs import NOTHING, NothingType
 
-from cattrs import BaseConverter
-from cattrs._compat import get_newtype_base, is_literal, is_subclass, is_union_type
+from .. import BaseConverter
+from .._compat import get_newtype_base, is_literal, is_subclass, is_union_type
+from ..typealiases import is_type_alias
 
 __all__ = [
     "configure_tagged_union",
@@ -26,8 +27,8 @@ def configure_tagged_union(
     default: Union[type, NothingType] = NOTHING,
 ) -> None:
     """
-    Configure the converter so that `union` (which should be a union) is
-    un/structured with the help of an additional piece of data in the
+    Configure the converter so that `union` (which should be a union, or a type alias
+    of one) is un/structured with the help of an additional piece of data in the
     unstructured payload, the tag.
 
     :param converter: The converter to apply the strategy to.
@@ -44,7 +45,12 @@ def configure_tagged_union(
     un/structuring base strategy.
 
     .. versionadded:: 23.1.0
+
+    ..  versionchanged:: 25.1
+        Type aliases of unions are now also supported.
     """
+    if is_type_alias(union):
+        union = union.__value__
     args = union.__args__
     tag_to_hook = {}
     exact_cl_unstruct_hooks = {}
diff --git a/tests/strategies/test_tagged_unions_695.py b/tests/strategies/test_tagged_unions_695.py
new file mode 100644
index 00000000..34d6fcc8
--- /dev/null
+++ b/tests/strategies/test_tagged_unions_695.py
@@ -0,0 +1,21 @@
+import pytest
+
+from cattrs import BaseConverter
+from cattrs.strategies import configure_tagged_union
+
+from .._compat import is_py312_plus
+from .test_tagged_unions import A, B
+
+
+@pytest.mark.skipif(not is_py312_plus, reason="New type alias syntax")
+def test_type_alias(converter: BaseConverter):
+    """Type aliases to unions also work."""
+    type AOrB = A | B
+
+    configure_tagged_union(AOrB, converter)
+
+    assert converter.unstructure(A(1), AOrB) == {"_type": "A", "a": 1}
+    assert converter.unstructure(B("1"), AOrB) == {"_type": "B", "a": "1"}
+
+    assert converter.structure({"_type": "A", "a": 1}, AOrB) == A(1)
+    assert converter.structure({"_type": "B", "a": 1}, AOrB) == B("1")