LOS ANGELES — In a sign of just how much streaming is changing Hollywood, movie fans will soon be able to rent and buy films for viewing at home — from a movie theater chain.

AMC Entertainment, the largest multiplex operator in the world, will introduce an iTunes-style online video store in the United States on Tuesday, said Adam Aron, AMC’s president and chief executive. The service, AMC Theaters On Demand, will offer about 2,000 films for sale or rent after their theatrical runs, just as iTunes, Amazon and other video-on-demand retailers do.

The movie theater industry has long been at odds with online video. Why trek to theaters if thousands of movies are available at the click of a button at home or on your phone? Sure, new films do not arrive on V.O.D. until they have played in theaters for an exclusive period of about 90 days. But that “windowing” practice, many analysts believe, will become untenable as streaming services like Netflix gain clout.

Hollywood’s five biggest movie studios — Disney, Warner Bros., Universal, Sony and Paramount — have made deals with AMC for catalog and new-release movies. Although DVDs still account for billions of dollars in sales for studios, more profit now comes from digital downloads and rentals.