Websites that allow you to watch free Hindi movies include Viewster.com, NyooTV.com, Desihit.net, NovaMov.com and ApnaView.com. Viewster has listing of movies and television shows from all around the world including India, while the others specialize in films and programming from the Indian subcontinent.
Viewster, NyooTv, Desihit, NovaMov and ApnaView host their own libraries, so you can watch movies on their sites without being sent to less trustworthy sources. NovaMov and ApnaView provide movies at normal and low bandwidth, so the quality is not always excellent but they can be watched with nearly any connection speed. As of July 2015, NyooTV is undergoing a revamp and is temporarily offline.