diff --git a/changelogs/fragments/60599-get_certificate-cryptography.yml b/changelogs/fragments/60599-get_certificate-cryptography.yml
new file mode 100644
index 00000000000..f85d65bdb1e
--- /dev/null
+++ b/changelogs/fragments/60599-get_certificate-cryptography.yml
@@ -0,0 +1,2 @@
+minor_changes:
+- "get_certificate - now works with both PyOpenSSL and cryptography Python libraries. Autodetection can be overridden with ``select_crypto_backend`` option."
diff --git a/lib/ansible/module_utils/crypto.py b/lib/ansible/module_utils/crypto.py
index 9b579a89335..2d49ab9034b 100644
--- a/lib/ansible/module_utils/crypto.py
+++ b/lib/ansible/module_utils/crypto.py
@@ -1504,6 +1504,7 @@ _OID_MAP = {
 
 _OID_LOOKUP = dict()
 _NORMALIZE_NAMES = dict()
+_NORMALIZE_NAMES_SHORT = dict()
 
 for dotted, names in _OID_MAP.items():
     for name in names:
@@ -1513,6 +1514,7 @@ for dotted, names in _OID_MAP.items():
                 .format(name, dotted, _OID_LOOKUP[name])
             )
         _NORMALIZE_NAMES[name] = names[0]
+        _NORMALIZE_NAMES_SHORT[name] = names[-1]
         _OID_LOOKUP[name] = dotted
 for alias, original in [('userID', 'userId')]:
     if alias in _NORMALIZE_NAMES:
@@ -1521,15 +1523,19 @@ for alias, original in [('userID', 'userId')]:
             .format(alias, original, _OID_LOOKUP[alias])
         )
     _NORMALIZE_NAMES[alias] = original
+    _NORMALIZE_NAMES_SHORT[alias] = _NORMALIZE_NAMES_SHORT[original]
     _OID_LOOKUP[alias] = _OID_LOOKUP[original]
 
 
-def pyopenssl_normalize_name(name):
+def pyopenssl_normalize_name(name, short=False):
     nid = OpenSSL._util.lib.OBJ_txt2nid(to_bytes(name))
     if nid != 0:
         b_name = OpenSSL._util.lib.OBJ_nid2ln(nid)
         name = to_text(OpenSSL._util.ffi.string(b_name))
-    return _NORMALIZE_NAMES.get(name, name)
+    if short:
+        return _NORMALIZE_NAMES_SHORT.get(name, name)
+    else:
+        return _NORMALIZE_NAMES.get(name, name)
 
 
 # #####################################################################################
@@ -1695,11 +1701,14 @@ def cryptography_name_to_oid(name):
     return x509.oid.ObjectIdentifier(dotted)
 
 
-def cryptography_oid_to_name(oid):
+def cryptography_oid_to_name(oid, short=False):
     dotted_string = oid.dotted_string
     names = _OID_MAP.get(dotted_string)
     name = names[0] if names else oid._name
-    return _NORMALIZE_NAMES.get(name, name)
+    if short:
+        return _NORMALIZE_NAMES_SHORT.get(name, name)
+    else:
+        return _NORMALIZE_NAMES.get(name, name)
 
 
 def cryptography_get_name(name):
diff --git a/lib/ansible/modules/crypto/get_certificate.py b/lib/ansible/modules/crypto/get_certificate.py
index 2a486566c09..5b032ff4d72 100644
--- a/lib/ansible/modules/crypto/get_certificate.py
+++ b/lib/ansible/modules/crypto/get_certificate.py
@@ -18,6 +18,9 @@ version_added: "2.8"
 short_description: Get a certificate from a host:port
 description:
     - Makes a secure connection and returns information about the presented certificate
+    - The module can use the cryptography Python library, or the pyOpenSSL Python
+      library. By default, it tries to detect which one is available. This can be
+      overridden with the I(select_crypto_backend) option."
 options:
     host:
       description:
@@ -50,13 +53,23 @@ options:
         - The timeout in seconds
       type: int
       default: 10
+    select_crypto_backend:
+      description:
+        - Determines which crypto backend to use.
+        - The default choice is C(auto), which tries to use C(cryptography) if available, and falls back to C(pyopenssl).
+        - If set to C(pyopenssl), will try to use the L(pyOpenSSL,https://pypi.org/project/pyOpenSSL/) library.
+        - If set to C(cryptography), will try to use the L(cryptography,https://cryptography.io/) library.
+      type: str
+      default: auto
+      choices: [ auto, cryptography, pyopenssl ]
+      version_added: "2.9"
 
 notes:
   - When using ca_cert on OS X it has been reported that in some conditions the validate will always succeed.
 
 requirements:
   - "python >= 2.7 when using C(proxy_host)"
-  - "pyOpenSSL >= 0.15"
+  - "cryptography >= 1.6 or pyOpenSSL >= 0.15"
 '''
 
 RETURN = '''
@@ -126,14 +139,22 @@ EXAMPLES = '''
     expire_days: "{{ (( cert.not_after | to_datetime('%Y%m%d%H%M%SZ')) - (ansible_date_time.iso8601 | to_datetime('%Y-%m-%dT%H:%M:%SZ')) ).days }}"
 '''
 
-import traceback
-
 from ansible.module_utils.basic import AnsibleModule, missing_required_lib
+from ansible.module_utils._text import to_bytes
+from ansible.module_utils import crypto as crypto_utils
 
+from distutils.version import LooseVersion
 from os.path import isfile
-from ssl import get_server_certificate, DER_cert_to_PEM_cert, CERT_NONE, CERT_OPTIONAL
 from socket import setdefaulttimeout, socket
+from ssl import get_server_certificate, DER_cert_to_PEM_cert, CERT_NONE, CERT_OPTIONAL
+
 import atexit
+import base64
+import datetime
+import traceback
+
+MINIMAL_PYOPENSSL_VERSION = '0.15'
+MINIMAL_CRYPTOGRAPHY_VERSION = '1.6'
 
 CREATE_DEFAULT_CONTEXT_IMP_ERR = None
 try:
@@ -146,12 +167,27 @@ else:
 
 PYOPENSSL_IMP_ERR = None
 try:
+    import OpenSSL
     from OpenSSL import crypto
+    PYOPENSSL_VERSION = LooseVersion(OpenSSL.__version__)
 except ImportError:
     PYOPENSSL_IMP_ERR = traceback.format_exc()
-    pyopenssl_found = False
+    PYOPENSSL_FOUND = False
 else:
-    pyopenssl_found = True
+    PYOPENSSL_FOUND = True
+
+CRYPTOGRAPHY_IMP_ERR = None
+try:
+    import cryptography
+    import cryptography.exceptions
+    import cryptography.x509
+    from cryptography.hazmat.backends import default_backend as cryptography_backend
+    CRYPTOGRAPHY_VERSION = LooseVersion(cryptography.__version__)
+except ImportError:
+    CRYPTOGRAPHY_IMP_ERR = traceback.format_exc()
+    CRYPTOGRAPHY_FOUND = False
+else:
+    CRYPTOGRAPHY_FOUND = True
 
 
 def main():
@@ -163,6 +199,7 @@ def main():
             proxy_host=dict(type='str'),
             proxy_port=dict(type='int', default=8080),
             timeout=dict(type='int', default=10),
+            select_crypto_backend=dict(type='str', choices=['auto', 'pyopenssl', 'cryptography'], default='auto'),
         ),
     )
 
@@ -173,11 +210,39 @@ def main():
     proxy_port = module.params.get('proxy_port')
     timeout = module.params.get('timeout')
 
+    backend = module.params.get('select_crypto_backend')
+    if backend == 'auto':
+        # Detection what is possible
+        can_use_cryptography = CRYPTOGRAPHY_FOUND and CRYPTOGRAPHY_VERSION >= LooseVersion(MINIMAL_CRYPTOGRAPHY_VERSION)
+        can_use_pyopenssl = PYOPENSSL_FOUND and PYOPENSSL_VERSION >= LooseVersion(MINIMAL_PYOPENSSL_VERSION)
+
+        # First try cryptography, then pyOpenSSL
+        if can_use_cryptography:
+            backend = 'cryptography'
+        elif can_use_pyopenssl:
+            backend = 'pyopenssl'
+
+        # Success?
+        if backend == 'auto':
+            module.fail_json(msg=("Can't detect any of the required Python libraries "
+                                  "cryptography (>= {0}) or PyOpenSSL (>= {1})").format(
+                                      MINIMAL_CRYPTOGRAPHY_VERSION,
+                                      MINIMAL_PYOPENSSL_VERSION))
+
+    if backend == 'pyopenssl':
+        if not PYOPENSSL_FOUND:
+            module.fail_json(msg=missing_required_lib('pyOpenSSL >= {0}'.format(MINIMAL_PYOPENSSL_VERSION)),
+                             exception=PYOPENSSL_IMP_ERR)
+    elif backend == 'cryptography':
+        if not CRYPTOGRAPHY_FOUND:
+            module.fail_json(msg=missing_required_lib('cryptography >= {0}'.format(MINIMAL_CRYPTOGRAPHY_VERSION)),
+                             exception=CRYPTOGRAPHY_IMP_ERR)
+
     result = dict(
         changed=False,
     )
 
-    if not pyopenssl_found:
+    if not PYOPENSSL_FOUND:
         module.fail_json(msg=missing_required_lib('pyOpenSSL >= 0.15'), exception=PYOPENSSL_IMP_ERR)
 
     if timeout:
@@ -210,45 +275,81 @@ def main():
 
             cert = ctx.wrap_socket(sock, server_hostname=host).getpeercert(True)
             cert = DER_cert_to_PEM_cert(cert)
-            x509 = crypto.load_certificate(crypto.FILETYPE_PEM, cert)
         except Exception as e:
             module.fail_json(msg="Failed to get cert from port with error: {0}".format(e))
 
     else:
         try:
             cert = get_server_certificate((host, port), ca_certs=ca_cert)
-            x509 = crypto.load_certificate(crypto.FILETYPE_PEM, cert)
         except Exception as e:
             module.fail_json(msg="Failed to get cert from port with error: {0}".format(e))
 
     result['cert'] = cert
-    result['subject'] = {}
-    for component in x509.get_subject().get_components():
-        result['subject'][component[0]] = component[1]
-
-    result['expired'] = x509.has_expired()
-
-    result['extensions'] = []
-    extension_count = x509.get_extension_count()
-    for index in range(0, extension_count):
-        extension = x509.get_extension(index)
-        result['extensions'].append({
-            'critical': extension.get_critical(),
-            'asn1_data': extension.get_data(),
-            'name': extension.get_short_name(),
-        })
-
-    result['issuer'] = {}
-    for component in x509.get_issuer().get_components():
-        result['issuer'][component[0]] = component[1]
-
-    result['not_after'] = x509.get_notAfter()
-    result['not_before'] = x509.get_notBefore()
-
-    result['serial_number'] = x509.get_serial_number()
-    result['signature_algorithm'] = x509.get_signature_algorithm()
 
-    result['version'] = x509.get_version()
+    if backend == 'pyopenssl':
+        x509 = crypto.load_certificate(crypto.FILETYPE_PEM, cert)
+        result['subject'] = {}
+        for component in x509.get_subject().get_components():
+            result['subject'][component[0]] = component[1]
+
+        result['expired'] = x509.has_expired()
+
+        result['extensions'] = []
+        extension_count = x509.get_extension_count()
+        for index in range(0, extension_count):
+            extension = x509.get_extension(index)
+            result['extensions'].append({
+                'critical': extension.get_critical(),
+                'asn1_data': extension.get_data(),
+                'name': extension.get_short_name(),
+            })
+
+        result['issuer'] = {}
+        for component in x509.get_issuer().get_components():
+            result['issuer'][component[0]] = component[1]
+
+        result['not_after'] = x509.get_notAfter()
+        result['not_before'] = x509.get_notBefore()
+
+        result['serial_number'] = x509.get_serial_number()
+        result['signature_algorithm'] = x509.get_signature_algorithm()
+
+        result['version'] = x509.get_version()
+
+    elif backend == 'cryptography':
+        x509 = cryptography.x509.load_pem_x509_certificate(to_bytes(cert), cryptography_backend())
+        result['subject'] = {}
+        for attribute in x509.subject:
+            result['subject'][crypto_utils.cryptography_oid_to_name(attribute.oid, short=True)] = attribute.value
+
+        result['expired'] = x509.not_valid_after < datetime.datetime.utcnow()
+
+        result['extensions'] = []
+        for dotted_number, entry in crypto_utils.cryptography_get_extensions_from_cert(x509).items():
+            oid = cryptography.x509.oid.ObjectIdentifier(dotted_number)
+            result['extensions'].append({
+                'critical': entry['critical'],
+                'asn1_data': base64.b64decode(entry['value']),
+                'name': crypto_utils.cryptography_oid_to_name(oid, short=True),
+            })
+
+        result['issuer'] = {}
+        for attribute in x509.issuer:
+            result['issuer'][crypto_utils.cryptography_oid_to_name(attribute.oid, short=True)] = attribute.value
+
+        result['not_after'] = x509.not_valid_after.strftime('%Y%m%d%H%M%SZ')
+        result['not_before'] = x509.not_valid_before.strftime('%Y%m%d%H%M%SZ')
+
+        result['serial_number'] = x509.serial_number
+        result['signature_algorithm'] = crypto_utils.cryptography_oid_to_name(x509.signature_algorithm_oid)
+
+        # We need the -1 offset to get the same values as pyOpenSSL
+        if x509.version == cryptography.x509.Version.v1:
+            result['version'] = 1 - 1
+        elif x509.version == cryptography.x509.Version.v3:
+            result['version'] = 3 - 1
+        else:
+            result['version'] = "unknown"
 
     module.exit_json(**result)
 
diff --git a/test/integration/targets/get_certificate/tasks/main.yml b/test/integration/targets/get_certificate/tasks/main.yml
index 827b852a840..ac06e1f8bb5 100644
--- a/test/integration/targets/get_certificate/tasks/main.yml
+++ b/test/integration/targets/get_certificate/tasks/main.yml
@@ -1,5 +1,42 @@
+---
 - block:
 
-    - include_tasks: ../tests/validate.yml
+  - name: Get servers certificate with backend auto-detection
+    get_certificate:
+      host: "{{ httpbin_host }}"
+      port: 443
+
+  when: |
+    pyopenssl_version.stdout is version('0.15', '>=') or
+    (cryptography_version.stdout is version('1.6', '>=') and (ansible_distribution != 'CentOS' or ansible_distribution_major_version|int > 6))
+
+- block:
+
+  - include_tasks: ../tests/validate.yml
+    vars:
+      select_crypto_backend: pyopenssl
 
   when: pyopenssl_version.stdout is version('0.15', '>=')
+
+- name: Remove output directory
+  file:
+    path: "{{ output_dir }}"
+    state: absent
+
+- name: Re-create output directory
+  file:
+    path: "{{ output_dir }}"
+    state: directory
+
+- block:
+
+  - include_tasks: ../tests/validate.yml
+    vars:
+      select_crypto_backend: cryptography
+
+  # The module doesn't work with CentOS 6. Since the pyOpenSSL installed there is too old,
+  # we never noticed before. This becomes a problem with the new cryptography backend,
+  # since there is a new enough cryptography version...
+  when: |
+    cryptography_version.stdout is version('1.6', '>=') and
+    (ansible_distribution != 'CentOS' or ansible_distribution_major_version|int > 6)
diff --git a/test/integration/targets/get_certificate/tests/validate.yml b/test/integration/targets/get_certificate/tests/validate.yml
index b0172e96952..5dec56c83bf 100644
--- a/test/integration/targets/get_certificate/tests/validate.yml
+++ b/test/integration/targets/get_certificate/tests/validate.yml
@@ -1,7 +1,9 @@
+---
 - name: Get servers certificate
   get_certificate:
     host: "{{ httpbin_host }}"
     port: 443
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
 
 - debug: var=result
@@ -18,6 +20,7 @@
   get_certificate:
     host: "{{ httpbin_host }}"
     port: 80
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
   ignore_errors: true
 
@@ -33,6 +36,7 @@
     host: "{{ httpbin_host }}"
     port: 1234
     timeout: 1
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
   ignore_errors: true
 
@@ -48,6 +52,7 @@
     host: "{{ httpbin_host }}"
     port: 443
     ca_cert: dn.e
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
   ignore_errors: true
 
@@ -68,6 +73,7 @@
     ca_cert: '{{ output_dir }}/temp.pem'
     host: "{{ httpbin_host }}"
     port: 443
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
 
 - assert:
@@ -90,6 +96,7 @@
     ca_cert: '{{ my_temp_dir.path }}/bogus_ca.pem'
     host: "{{ httpbin_host }}"
     port: 443
+    select_crypto_backend: "{{ select_crypto_backend }}"
   register: result
   ignore_errors: true