"I am engaged. I'm very happy," Bower told The Daily. "It's a wonderful, wonderful time."
Bower, 22, and Wright, 20, remain coy about their upcoming plans.
"I won't say when and I won't say where... or how," Bower said about the nuptials.
Bower, who played a dark wizard in Harry Potter and the Deathly Hallows: Part II and Caius in Twilight: New Moon, was recently in the TVGuide.com studios promoting his Starz series Camelot. In the video below, the cheeky bugger says that viewers should tune in to see his and co-star Eva Green's "bums."