REST client for NodeJS with Typescript

You can use fetch which is on track to becoming a standard. The link is to a polyfil for browsers that don't yet support fetch.

Type Definitions exist for it as well.

In all honesty it depends on specific requirements.

Request is the gold standard as far as a library goes ( if you need the bells and whistles ). It's a mature and robust library with a thriving ecosystem and a well managed project.

Fetch is well on its' way to becoming the standard for making a rest call

Further reading - Solid list of all things rest on github

The request library is capable of making simple GET, POST, PUT, DELETE requests. TypeScript definitions are available via DefinitelyTyped.