diff --git a/.github/workflows/test_latest_versions.yml b/.github/workflows/test_latest_versions.yml
index a53b1842c..1b29740c9 100644
--- a/.github/workflows/test_latest_versions.yml
+++ b/.github/workflows/test_latest_versions.yml
@@ -20,10 +20,10 @@ jobs:
       max-parallel: 4
       matrix:
         os: [ubuntu-latest]
-        python-version: ["3.8", "3.12"]
+        python-version: ["3.8", "3.13"]
         include:
           - os: macos-latest
-            python-version: "3.12"
+            python-version: "3.13"
           - os: windows-latest
             python-version: "3.10"
     steps:
diff --git a/pyproject.toml b/pyproject.toml
index 7c259d09b..11e006e27 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -21,6 +21,7 @@ classifiers = [
     "Programming Language :: Python :: 3.10",
     "Programming Language :: Python :: 3.11",
     "Programming Language :: Python :: 3.12",
+    "Programming Language :: Python :: 3.13",
     "Topic :: Scientific/Engineering :: Physics",
 ]
 
diff --git a/tox.ini b/tox.ini
index 4e2eb24d6..0dacf9f21 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 minversion = 3.25
-envlist = py{38,39,310,311,312}{,-notebook}, lint, coverage, docs
+envlist = py{38,39,310,311,312,313}{,-notebook}, lint, coverage, docs
 isolated_build = True
 
 [testenv]
@@ -31,7 +31,7 @@ commands =
   pylint -rn qiskit_addon_cutting/ test/
   nbqa pylint -rn docs/
 
-[testenv:{,py-,py3-,py38-,py39-,py310-,py311-,py312-}notebook]
+[testenv:{,py-,py3-,py38-,py39-,py310-,py311-,py312-,py313-}notebook]
 extras =
   nbtest
   notebook-dependencies