Just a week after Chloe officially confirmed the romance, the young duo attended the premiere of her new movie, Neighbours 2: Sorority Rising, in Los Angeles.
Brooklyn, 17, who is the eldest son of David and Victoria Beckham, wore black jeans and a smart black blazer and tie, while Chloe, 19, went for a rather risqué black lace dress.
It was only last week Chloe finally confirmed the relationship, after the pair had kept coy on rumours when previously asked.
Appearing on Watch What Happens Live in the US, the actress said: "We are in a relationship. It's fine. It's no biggie. I think the more I don't make it mysterious, the more people don't care. So yes, we are in a relationship."
"Very exciting news," she joked.
Kick Ass actress Chloe and aspiring photographer Brooklyn have been linked since 2014, when they arrived together at the Teen Choice Awards in Los Angeles.
Neighbors 2 co-stars Zac Efron and Seth Rogen, and is the sequel to Bad Neighbours, released in 2014. It's in cinemas now.