The "Star Wars: The Force Awakens" star, 36, went public with his romance with Lind at the Golden Globe Awards, where he was shown on camera planting a kiss on his date after landing the Best Actor in a Mini-Series or TV Movie honour for "Show Me a Hero", reported Us magazine.
The couple previously worked together in 2013 on the Staircase Sessions website, where they helped produce acoustic music videos.
The actor is known for keeping his private life out of the spotlight, and Sunday's date marked his first red carpet appearance with the filmmaker.
"Sweetest moment from last night," she captioned the Twitter image. "New friends. #celebration.