diff --git a/.github/workflows/deploy.yml b/.github/workflows/deploy.yml
index 157db0cb5d..661b2e5d05 100644
--- a/.github/workflows/deploy.yml
+++ b/.github/workflows/deploy.yml
@@ -135,7 +135,7 @@ jobs:
       - name: Build wheels
         env:
           CIBW_BEFORE_ALL: "yum install -y yum-utils wget && wget https://developer.download.nvidia.com/compute/cuda/10.1/Prod/local_installers/cuda-repo-rhel6-10-1-local-10.1.243-418.87.00-1.0-1.x86_64.rpm && rpm -i cuda-repo-rhel6-10-1-local-10.1.243-418.87.00-1.0-1.x86_64.rpm && yum clean all && yum -y install cuda-10-1 openblas-devel"
-          CIBW_SKIP: "*-manylinux_i686 pp* *musllinux*"
+          CIBW_SKIP: "*-manylinux_i686 pp* cp36* *musllinux*"
           CIBW_ENVIRONMENT: QISKIT_AER_PACKAGE_NAME=qiskit-aer-gpu AER_THRUST_BACKEND=CUDA CUDACXX=/usr/local/cuda/bin/nvcc
         run: |
           python -m cibuildwheel --output-dir wheelhouse
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 3354683029..e0fd9e38f2 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -87,7 +87,7 @@ jobs:
     timeout-minutes: 60
     strategy:
       matrix:
-        python-version: [3.6, 3.7, 3.8, 3.9, "3.10"]
+        python-version: [3.7, 3.8, 3.9, "3.10"]
         os: ["ubuntu-latest"]
     env:
       AER_THRUST_BACKEND: OMP
diff --git a/pyproject.toml b/pyproject.toml
index 01b42e6c56..dfe3acc9e2 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -15,7 +15,7 @@ build-backend = "setuptools.build_meta"
 [tool.cibuildwheel]
 manylinux-x86_64-image = "manylinux2014"
 manylinux-i686-image = "manylinux2010"
-skip = "pp* *musllinux*"
+skip = "pp* cp36* *musllinux*"
 test-skip = "cp310-win32 cp310-manylinux_i686"
 test-command = "python {project}/tools/verify_wheels.py"
 # We need to use pre-built versions of Numpy and Scipy in the tests; they have a
@@ -28,7 +28,7 @@ before-test = "pip install --only-binary=numpy,scipy numpy scipy"
 before-all = "yum install -y openblas-devel"
 
 [tool.cibuildwheel.windows]
-environment = "CMAKE_GENERATOR='Visual Studio 16 2019'"
+environment = { CMAKE_GENERATOR = "Visual Studio 16 2019"}
 
 # For older Pythons we maintain our manylinux2010 support.
 [[tool.cibuildwheel.overrides]]
diff --git a/releasenotes/notes/drop-python36-61553302523fa240.yaml b/releasenotes/notes/drop-python36-61553302523fa240.yaml
new file mode 100644
index 0000000000..0d590b6231
--- /dev/null
+++ b/releasenotes/notes/drop-python36-61553302523fa240.yaml
@@ -0,0 +1,5 @@
+---
+upgrade:
+  - |
+    Running qiskit-aer with Python 3.6 is no longer supported. Python >= 3.7
+    is now required to install and run qiskit-aer.
diff --git a/setup.py b/setup.py
index 846553ce21..62cffc976a 100644
--- a/setup.py
+++ b/setup.py
@@ -131,14 +131,13 @@ def install_needed_req(import_name, package_name=None, min_version=None, max_ver
         "Operating System :: POSIX :: Linux",
         "Programming Language :: C++",
         "Programming Language :: Python :: 3 :: Only",
-        "Programming Language :: Python :: 3.6",
         "Programming Language :: Python :: 3.7",
         "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.9",
         "Programming Language :: Python :: 3.10",
         "Topic :: Scientific/Engineering",
     ],
-    python_requires=">=3.6",
+    python_requires=">=3.7",
     install_requires=requirements,
     setup_requires=setup_requirements,
     include_package_data=True,
diff --git a/tox.ini b/tox.ini
index f980c8f2d4..abedfdfe3e 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,6 +1,6 @@
 [tox]
 minversion = 2.1
-envlist = py36, py37, py38, py39, py310, lint
+envlist = py37, py38, py39, py310, lint
 skipsdist = True
 
 [testenv]