diff --git a/changelogs/fragments/64683-docker_container-cpus.yml b/changelogs/fragments/64683-docker_container-cpus.yml
new file mode 100644
index 00000000000..cb82b29b156
--- /dev/null
+++ b/changelogs/fragments/64683-docker_container-cpus.yml
@@ -0,0 +1,2 @@
+minor_changes:
+- "docker_container - add ``cpus`` option (https://github.com/ansible/ansible/issues/34320)."
diff --git a/lib/ansible/modules/cloud/docker/docker_container.py b/lib/ansible/modules/cloud/docker/docker_container.py
index 6b23cca516d..d7ef9f00278 100644
--- a/lib/ansible/modules/cloud/docker/docker_container.py
+++ b/lib/ansible/modules/cloud/docker/docker_container.py
@@ -112,11 +112,19 @@ options:
   cpu_period:
     description:
       - Limit CPU CFS (Completely Fair Scheduler) period.
+      - See I(cpus) for an easier to use alternative.
     type: int
   cpu_quota:
     description:
       - Limit CPU CFS (Completely Fair Scheduler) quota.
+      - See I(cpus) for an easier to use alternative.
     type: int
+  cpus:
+    description:
+      - Specify how much of the available CPU resources a container can use.
+      - A value of C(1.5) means that at most one and a half CPU (core) will be used.
+    type: float
+    version_added: '2.10'
   cpuset_cpus:
     description:
       - CPUs in which to allow execution C(1,3) or C(1-3).
@@ -1207,6 +1215,7 @@ class TaskParameters(DockerBaseClass):
         self.command = None
         self.cpu_period = None
         self.cpu_quota = None
+        self.cpus = None
         self.cpuset_cpus = None
         self.cpuset_mems = None
         self.cpu_shares = None
@@ -1293,6 +1302,9 @@ class TaskParameters(DockerBaseClass):
         if self.state == 'absent':
             return
 
+        if self.cpus is not None:
+            self.cpus = int(round(self.cpus * 1E9))
+
         if self.groups:
             # In case integers are passed as groups, we need to convert them to
             # strings as docker internally treats them as strings.
@@ -1544,6 +1556,7 @@ class TaskParameters(DockerBaseClass):
             device_write_iops='device_write_iops',
             pids_limit='pids_limit',
             mounts='mounts',
+            nano_cpus='cpus',
         )
 
         if self.client.docker_py_version >= LooseVersion('1.9') and self.client.docker_api_version >= LooseVersion('1.22'):
@@ -2125,6 +2138,7 @@ class Container(DockerBaseClass):
             # The previous tag, v1.9.1, has API version 1.21 and does not have
             # HostConfig.Mounts. I have no idea what about API 1.25...
             expected_mounts=self._decode_mounts(host_config.get('Mounts')),
+            cpus=host_config.get('NanoCpus'),
         )
         # Options which don't make sense without their accompanying option
         if self.parameters.restart_policy:
@@ -3156,6 +3170,7 @@ class AnsibleDockerClientContainer(AnsibleDockerClient):
             uts=dict(docker_py_version='3.5.0', docker_api_version='1.25'),
             pids_limit=dict(docker_py_version='1.10.0', docker_api_version='1.23'),
             mounts=dict(docker_py_version='2.6.0', docker_api_version='1.25'),
+            cpus=dict(docker_py_version='2.3.0', docker_api_version='1.25'),
             # specials
             ipvX_address_supported=dict(docker_py_version='1.9.0', docker_api_version='1.22',
                                         detect_usage=detect_ipvX_address_usage,
@@ -3212,6 +3227,7 @@ def main():
         container_default_behavior=dict(type='str', choices=['compatibility', 'no_defaults']),
         cpu_period=dict(type='int'),
         cpu_quota=dict(type='int'),
+        cpus=dict(type='float'),
         cpuset_cpus=dict(type='str'),
         cpuset_mems=dict(type='str'),
         cpu_shares=dict(type='int'),
diff --git a/test/integration/targets/docker_container/tasks/tests/options.yml b/test/integration/targets/docker_container/tasks/tests/options.yml
index 3ec843655e2..5cced99584b 100644
--- a/test/integration/targets/docker_container/tasks/tests/options.yml
+++ b/test/integration/targets/docker_container/tasks/tests/options.yml
@@ -430,6 +430,63 @@
     - cpuset_mems_2 is not changed
     - cpuset_mems_3 is failed or cpuset_mems_3 is changed
 
+####################################################################
+## cpus ############################################################
+####################################################################
+
+- name: cpus
+  docker_container:
+    image: alpine:3.8
+    command: '/bin/sh -c "sleep 10m"'
+    name: "{{ cname }}"
+    cpus: 1
+    state: started
+  ignore_errors: yes
+  register: cpus_1
+
+- name: cpus (idempotency)
+  docker_container:
+    image: alpine:3.8
+    command: '/bin/sh -c "sleep 10m"'
+    name: "{{ cname }}"
+    cpus: 1
+    state: started
+  ignore_errors: yes
+  register: cpus_2
+
+- name: cpus (change)
+  docker_container:
+    image: alpine:3.8
+    command: '/bin/sh -c "sleep 10m"'
+    name: "{{ cname }}"
+    cpus: 1.5
+    state: started
+    force_kill: yes
+  # This will fail if the system the test is run on doesn't have
+  # multiple MEMs available.
+  ignore_errors: yes
+  register: cpus_3
+
+- name: cleanup
+  docker_container:
+    name: "{{ cname }}"
+    state: absent
+    force_kill: yes
+  diff: no
+
+- assert:
+    that:
+    - cpus_1 is changed
+    - cpus_2 is not changed and cpus_2 is not failed
+    - cpus_3 is failed or cpus_3 is changed
+  when: docker_py_version is version('2.3.0', '>=')
+- assert:
+    that:
+    - cpus_1 is failed
+    - "('version is ' ~ docker_py_version ~ ' ') in cpus_1.msg"
+    - "'Minimum version required is 2.3.0 ' in cpus_1.msg"
+  when: docker_py_version is version('2.3.0', '<')
+
 ####################################################################
 ## debug ###########################################################
 ####################################################################