diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index c57c3fd..dd30161 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -1,6 +1,6 @@
 # This code is part of a Qiskit project.
 #
-# (C) Copyright IBM 2022, 2023.
+# (C) Copyright IBM 2022, 2024.
 #
 # This code is licensed under the Apache License, Version 2.0. You may
 # obtain a copy of this license in the LICENSE.txt file in the root directory
@@ -115,12 +115,12 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: [3.8, 3.9, '3.10', 3.11]
+        python-version: [3.8, 3.9, '3.10', 3.11, 3.12]
         include:
           - os: macos-latest
             python-version: 3.8
           - os: macos-latest
-            python-version: 3.11
+            python-version: 3.12
     steps:
       - uses: actions/checkout@v3
       - uses: actions/setup-python@v4
@@ -210,20 +210,24 @@ jobs:
         with:
           name: ubuntu-latest-3.11
           path: /tmp/f311
+      - uses: actions/download-artifact@v3
+        with:
+          name: ubuntu-latest-3.12
+          path: /tmp/f312
       - uses: actions/download-artifact@v3
         with:
           name: macos-latest-3.8
           path: /tmp/m38
       - uses: actions/download-artifact@v3
         with:
-          name: macos-latest-3.11
-          path: /tmp/m311
+          name: macos-latest-3.12
+          path: /tmp/m312
       - name: Install Dependencies
         run: pip install -U coverage coveralls diff-cover
         shell: bash
       - name: Combined Deprecation Messages
         run: |
-          sort -f -u /tmp/f38/fin.dep /tmp/f39/fin.dep /tmp/f310/fin.dep /tmp/f311/fin.dep /tmp/m38/fin.dep /tmp/m311/fin.dep || true
+          sort -f -u /tmp/f38/fin.dep /tmp/f39/fin.dep /tmp/f310/fin.dep /tmp/f311/fin.dep /tmp/f312/fin.dep /tmp/m38/fin.dep /tmp/m312/fin.dep || true
         shell: bash
       - name: Coverage combine
         run: coverage3 combine /tmp/f38/fin.dat
diff --git a/constraints.txt b/constraints.txt
index bd44a48..bba3992 100644
--- a/constraints.txt
+++ b/constraints.txt
@@ -1,2 +1 @@
 numpy>=1.20.0
-rustworkx!=0.13.0;python_version<"3.8"
diff --git a/releasenotes/notes/python-3.12-951eab86dddf803c.yaml b/releasenotes/notes/python-3.12-951eab86dddf803c.yaml
new file mode 100644
index 0000000..a129143
--- /dev/null
+++ b/releasenotes/notes/python-3.12-951eab86dddf803c.yaml
@@ -0,0 +1,4 @@
+---
+features:
+  - |
+    Added support for Python 3.12.
diff --git a/setup.py b/setup.py
index 279b067..1a65b43 100644
--- a/setup.py
+++ b/setup.py
@@ -56,6 +56,7 @@
         "Programming Language :: Python :: 3.9",
         "Programming Language :: Python :: 3.10",
         "Programming Language :: Python :: 3.11",
+        "Programming Language :: Python :: 3.12",
         "Topic :: Scientific/Engineering",
     ],
     keywords="qiskit sdk quantum nature chemistry physics pyscf",
diff --git a/tox.ini b/tox.ini
index a81da52..68a7f4b 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 minversion = 3.3.0
-envlist = py38, py39, py310, py311, lint
+envlist = py38, py39, py310, py311, py312, lint
 skipsdist = True
 
 [testenv]