You can pull a pre-built docker image of the swagger-ui directly from Dockerhub:
docker pull swaggerapi/swagger-ui
docker run -p 80:8080 swaggerapi/swagger-ui
Will start nginx with swagger-ui on port 80.
Or you can provide your own swagger.json on your host
docker run -p 80:8080 -e SWAGGER_JSON=/foo/swagger.json -v /bar:/foo swaggerapi/swagger-ui
The base URL of the web application can be changed by specifying the BASE_URL environment variable:
docker run -p 80:8080 -e BASE_URL=/swagger -e SWAGGER_JSON=/foo/swagger.json -v /bar:/foo swaggerapi/swagger-ui
This will serve Swagger UI at /swagger instead of /.