certs.sh

#!/usr/bin/env bash

openssl req -newkey rsa:2048 -new -nodes -x509 -days 3650 -keyout key.pem -out cert.pem

Dockerfile

FROM node:6

ADD server.js /server.js
ADD cert.pem /cert.pem
ADD key.pem /key.pem

CMD ["node", "/server.js"] 

EXPOSE 8080

server.js

const {createServer} = require('https');
const {readFileSync} = require('fs');

const port = 8080;
const host = '0.0.0.0';

const options = {
  key: readFileSync('key.pem'),
  cert: readFileSync('cert.pem')
};

const server = createServer(options, (req, res) => {
  res.end('hello https');
});

server.listen(
  port,
  host,
  () => console.log('server up')
);