diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 60816c55..575ab7ac 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -11,20 +11,26 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ['3.8', '3.9', '3.10', '3.11', '3.12-dev']
-        django-version: ['3.2', '4.1', '4.2', 'main']
+        python-version: ['3.8', '3.9', '3.10', '3.11', '3.12', '3.13-dev']
+        django-version: ['3.2', '4.2', '5.0', 'main']
 
         exclude:
+          # Exclude py3.8 and py3.9 for Django main and 5.0
+          - python-version: '3.8'
+            django-version: '5.0'
+          - python-version: '3.9'
+            django-version: '5.0'
           - python-version: '3.8'
             django-version: 'main'
-
           - python-version: '3.9'
             django-version: 'main'
 
+          # Exclude py3.11, py3.12 and py3.13 for Django 3.2
           - python-version: '3.11'
             django-version: '3.2'
-
-          - python-version: '3.12-dev'
+          - python-version: '3.12'
+            django-version: '3.2'
+          - python-version: '3.13-dev'
             django-version: '3.2'
 
     services:
@@ -115,7 +121,7 @@ jobs:
           # Install this project in editable mode, so that its package metadata can be queried
           pip install -e .
           # Install the latest minor version of Django we support
-          pip install Django==4.2
+          pip install Django==5.0
 
       - name: Check translation files are updated
         run: python -m simple_history.tests.generated_file_checks.check_translations
diff --git a/.readthedocs.yaml b/.readthedocs.yaml
index 216a72cd..7e1713f6 100644
--- a/.readthedocs.yaml
+++ b/.readthedocs.yaml
@@ -9,7 +9,7 @@ version: 2
 build:
   os: ubuntu-22.04
   tools:
-    python: "3.11"
+    python: "3.12"
 
 # Build documentation in the "docs/" directory with Sphinx
 sphinx:
diff --git a/CHANGES.rst b/CHANGES.rst
index 049e39f7..e5906805 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -16,6 +16,8 @@ Unreleased
   version is lower than 4.2 (gh-1261)
 - Small performance optimization of the ``clean-duplicate_history`` command (gh-1015)
 - Support Simplified Chinese translation (gh-1281)
+- Added support for Django 5.0 (gh-1283)
+- Added support for Python 3.13 (gh-1289)
 
 3.4.0 (2023-08-18)
 ------------------
diff --git a/README.rst b/README.rst
index cff8ae90..c8442f68 100644
--- a/README.rst
+++ b/README.rst
@@ -42,9 +42,9 @@ This app supports the following combinations of Django and Python:
   Django      Python
 ==========  ========================
 3.2         3.8, 3.9, 3.10
-4.1         3.8, 3.9, 3.10, 3.11, 3.12-dev
-4.2         3.8, 3.9, 3.10, 3.11, 3.12-dev
-main        3.10, 3.11, 3.12-dev
+4.2         3.8, 3.9, 3.10, 3.11, 3.12, 3.13-dev
+5.0         3.10, 3.11, 3.12, 3.13-dev
+main        3.10, 3.11, 3.12, 3.13-dev
 ==========  ========================
 
 Getting Help
diff --git a/docs/index.rst b/docs/index.rst
index 75afa9a0..e6eaaf74 100644
--- a/docs/index.rst
+++ b/docs/index.rst
@@ -42,9 +42,9 @@ This app supports the following combinations of Django and Python:
   Django      Python
 ==========  =======================
 3.2         3.8, 3.9, 3.10
-4.1         3.8, 3.9, 3.10, 3.11, 3.12-dev
-4.2         3.8, 3.9, 3.10, 3.11, 3.12-dev
-main        3.10, 3.11, 3.12-dev
+4.2         3.8, 3.9, 3.10, 3.11, 3.12, 3.13-dev
+5.0         3.10, 3.11, 3.12, 3.13-dev
+main        3.10, 3.11, 3.12, 3.13-dev
 ==========  =======================
 
 Contribute
diff --git a/setup.py b/setup.py
index fdfe8ec5..8e1909d6 100644
--- a/setup.py
+++ b/setup.py
@@ -39,8 +39,8 @@
             "Intended Audience :: Developers",
             "Framework :: Django",
             "Framework :: Django :: 3.2",
-            "Framework :: Django :: 4.1",
             "Framework :: Django :: 4.2",
+            "Framework :: Django :: 5.0",
             "Programming Language :: Python",
             "Programming Language :: Python :: 3",
             "Programming Language :: Python :: 3.8",
@@ -48,6 +48,7 @@
             "Programming Language :: Python :: 3.10",
             "Programming Language :: Python :: 3.11",
             "Programming Language :: Python :: 3.12",
+            "Programming Language :: Python :: 3.13",
             "License :: OSI Approved :: BSD License",
         ],
         python_requires=">=3.8",
diff --git a/tox.ini b/tox.ini
index 87b3588a..dc692c67 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,9 +1,12 @@
 [tox]
 envlist =
     py{38,39,310}-dj32-{sqlite3,postgres,mysql,mariadb},
-    py{38,39,310,311,312}-dj41-{sqlite3,postgres,mysql,mariadb},
     py{38,39,310,311,312}-dj42-{sqlite3,postgres,mysql,mariadb},
+    py{310,311,312}-dj50-{sqlite3,postgres,mysql,mariadb},
     py{310,311,312}-djmain-{sqlite3,postgres,mysql,mariadb},
+    # DEV: Add `313` to the Python versions above (so that postgres is tested with 3.13)
+    #      when `psycopg2-binary` supports 3.13
+    py313-dj{42,50,main}-{sqlite3,mysql,mariadb},
     docs,
     lint
 
@@ -14,12 +17,13 @@ python =
     3.10: py310
     3.11: py311, docs, lint
     3.12: py312
+    3.13: py313
 
 [gh-actions:env]
 DJANGO =
     3.2: dj32
-    4.1: dj41
     4.2: dj42
+    5.0: dj50
     main: djmain
 
 [flake8]
@@ -32,8 +36,8 @@ exclude = __init__.py,simple_history/registry_tests/migration_test_app/migration
 deps =
     -rrequirements/test.txt
     dj32: Django>=3.2,<3.3
-    dj41: Django>=4.1,<4.2
     dj42: Django>=4.2,<4.3
+    dj50: Django>=5.0,<5.1
     djmain: https://github.com/django/django/tarball/main
     postgres: -rrequirements/postgres.txt
     mysql: -rrequirements/mysql.txt