Currently, Meteor limits native deployment to its own servers, with limited control over the environment. Planned is an enterprise-grade server infrastructure called Galaxy, which will make deploying and scaling Meteor apps as simple as Meteor itself.
Nonetheless, with Meteor's simplicity and great community, we already have a rich set of tools available to deploy to any Node.js-based hosting and PaaS environment.
Note
For example, if we wanted to deploy on Heroku, we can take a look at the build pack by Jordan Sissel at https://github.com/jordansissel/heroku-buildpack-meteor.