When creating a container using the docker run command, the --restart option can be used to start the Docker container if the Docker server or daemon is restarted or if the host server is restarted. 

It is important to recognize that if you do not use the --restart option when creating or starting a Docker container using the docker run command, the Docker container will NOT start up if the Docker server or daemon is restarted or if the host server is restarted. The restart options are:

• no
• on-failure:[max-retries]
• always - The Docker container will be started if the Docker server or daemon is restarted or if the host server is restarted
• unless-stopped - The Docker container will be started if the Docker server or daemon is restarted or if the host server is restarted as long as the Docker container was not manually stopped

docker run --restart unless-stopped --name my-container my-image:latest

Of if the container already exists the docker update command can be used.

sudo docker update --restart unless-stopped my-container

You can use the docker inspect command to view the JSON for the container.

~]$ sudo docker inspect my-container | jq .[].HostConfig.RestartPolicy
{
  "Name": "unless-stopped",
  "MaximumRetryCount": 0
}

After a Docker container has been created, the docker restart command can be used to restart the container.

docker restart my-container