By default, RethinkDB binds all services to 127.0.0.1. So this following example will persist data to the host_data_path on the container's host machine and available to 127.0.0.1 on the standard ports.

Service	Flag	Default Port
Driver	--driver-port	28015
Cluster	--cluster-port	29015
HTTP WebUI	--http-port	8080

docker run -d -v host_data_path:/data rethinkdb 

To open up the driver and cluster port to the external traffic you must specify the address of local interfaces or provide all.

docker run -d -v host_data_path:/data rethinkdb --bind all 

When deploying RethinkDB in production, you want to either turn off or lock down the WebUI. This will only respond to localhost to access the WebUI allowing you to SSH Tunnel to the host machine and access it for diagnostics and troubleshooting.

docker run -d \
   -v host_data_path:/data \
   rethinkdb \
   rethinkdb --bind-cluster all --bind-driver all --bind-http 127.0.0.1 -d /data

If you'd like to completely turn off the WebUI:

docker run -d \
  -v host_data_path:/data \
  rethinkdb \
  rethinkdb --bind-cluster all --bind-driver all --no-http-admin -d /data