The newly minted couple stepped out at the New York Film Festival to check out the premiere screening of the drama film.
The actress, 28, wore a classic black floor-length dress as she let her long blonde hair slicked back to show off her shining gold choker necklace on her neck. Cooke, 34, meanwhile rocked a classic black suit.
Jennifer's best friend Emma Stone, 29, also stars in the upcoming movie, The Favourite. The film festival was also attended Jennifer's one of other exes, director Darren Aronofsky, who she dated for a year before getting split in November.
Jennifer and Cooke's relationship rumor first surfaced back in June when they were spotted strolling together at Frenchette in Manhattan, New York City.
The pair were later caught packing on some PDA in the city; they worked together arm-in-arm later sharing a kiss during a dinner date.
Jennifer, who previously had an affair with Coldplay singer Chris Martin, was also engaged to actress Rachel Weisz. The former couple shares an 11-year-old son Henry together.
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