After a whirlwind romance, Bower and Wright got engaged last month, according to the U.K.'s Daily Mail.
Wright, 19, plays Ron Weasley's sister Ginny in the Harry Potter films. Bower, 21, played the vampire Caius in The Twilight Saga: New Moon. They will appear together in the upcoming Harry Potter and the Deathly Hallows, coming in November – in which Bower portrays Gellert Grindelwald.
Wright confirmed to PEOPLE in February that the pair had been dating for about six months. "It's not like we kept it a secret intentionally, but we didn't go around telling everyone either," she said.
She added: "We met at a party, and we just really clicked straight away. He's a great guy, and we just enjoy spending time together."