Robert Pattinson & Kristen Stewart Win Best Kiss!

Robert Pattinson is sweeping the 2009 MTV Movie Awards!

The 23-year-old actor got close with costar Kristen Stewart after they won Best Kiss — but Kristen backed out at the last minute. What a tease!

Robert also won Best Breakthrough Performance and Best Fight with Cam Gigandet at the Movie Awards on Sunday (May 31).

15+ pics inside of Robert Pattinson picking up his popcorn awards…