LOS ANGELES — Premium pay TV channel Starz said Monday that it has renewed its agreement to carry movies from Sony Pictures through films hitting theaters in 2021. The deal, which was seen as a must-win for the channel, comes two months after Net­flix snatched future Disney movies from Starz.

The deal will extend Sony’s relationship with Starz by five years, giving the channel access to major Hollywood releases into the future. Disney movies released in 2016 and beyond will play on Netflix’s streaming service instead of Starz.