June 16, 2006 09:30 PM

Grey’s Anatomy star Katherine Heigl and her boyfriend, musician Josh Kelley, are engaged, their reps confirm exclusively to PEOPLE.

No wedding date has been set.

The couple met last year when Heigl, 27, appeared in a video for Kelley’s song “Only You.”

“At the end of the shoot, I said, ‘You’re gonna go eat dinner with us, and you can’t say no,’ ” Kelley, 25, said in October. “So we ate, drank and just started hanging out after that.”

Music is still part of their relationship: Kelley wrote a tune, “Katie’s Song,” for Heigl. “There is really nothing more romantic than that,” Heigl told PEOPLE in December. “It was one of the most thrilling and romantic things that I’ve ever experienced, and it makes me really like him bad.”

Heigl, who also starred on the WB’s Roswell, grew up in New Canaan, Conn., and worked as a model before she began acting. She is currently filming the comedy Knocked Up.

Kelley, an Augusta, Ga., native, released his debut album, For the Ride Home, in 2003. His second album, Almost Honest, came out last year, and his third, Just Say The Word, is scheduled to hit stores July 24.

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