diff --git a/.github/workflows/main.yml b/.github/workflows/main.yml
index 3aeb87dd..87f60c1c 100644
--- a/.github/workflows/main.yml
+++ b/.github/workflows/main.yml
@@ -111,12 +111,12 @@ 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
           - os: windows-latest
             python-version: 3.8
           - os: windows-latest
@@ -172,7 +172,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: [3.8, 3.11]
+        python-version: [3.8, 3.12]
     steps:
       - uses: actions/checkout@v3
       - uses: actions/setup-python@v4
@@ -208,7 +208,7 @@ jobs:
       fail-fast: false
       matrix:
         os: [ubuntu-latest]
-        python-version: [3.8, 3.11]
+        python-version: [3.8, 3.12]
     steps:
       - uses: actions/checkout@v3
         with:
@@ -276,14 +276,18 @@ jobs:
         with:
           name: ubuntu-latest-3.11
           path: /tmp/u311
+      - uses: actions/download-artifact@v3
+        with:
+          name: ubuntu-latest-3.12
+          path: /tmp/u312
       - 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
       - uses: actions/download-artifact@v3
         with:
           name: windows-latest-3.8
@@ -297,7 +301,7 @@ jobs:
         shell: bash
       - name: Combined Deprecation Messages
         run: |
-          sort -f -u /tmp/u38/alg.dep /tmp/u39/alg.dep /tmp/u310/alg.dep /tmp/u311/alg.dep /tmp/m38/alg.dep /tmp/m311/alg.dep /tmp/w38/alg.dep /tmp/w311/alg.dep || true
+          sort -f -u /tmp/u38/alg.dep /tmp/u39/alg.dep /tmp/u310/alg.dep /tmp/u311/alg.dep /tmp/u312/alg.dep /tmp/m38/alg.dep /tmp/m312/alg.dep /tmp/w38/alg.dep /tmp/w311/alg.dep || true
         shell: bash
       - name: Coverage combine
         run: coverage3 combine /tmp/u38/alg.dat
diff --git a/releasenotes/notes/py_3_12_support-13aa1a32494d25e7.yaml b/releasenotes/notes/py_3_12_support-13aa1a32494d25e7.yaml
new file mode 100644
index 00000000..743e4740
--- /dev/null
+++ b/releasenotes/notes/py_3_12_support-13aa1a32494d25e7.yaml
@@ -0,0 +1,4 @@
+---
+features:
+  - |
+    Added support for using Qiskit Algorithms with Python 3.12.
diff --git a/setup.py b/setup.py
index d7e89838..3413e934 100644
--- a/setup.py
+++ b/setup.py
@@ -65,6 +65,7 @@
         "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 algorithms",