Nick Markakis and Corey Patterson homered off Mark Buehrle for all the scoring.
Bedard struck out seven to increase his A-L-leading total to 156. The left-hander is 8-and-4 on the year. He walked two and allowed only three runners past first base in extending his run of scoreless innings to 16.
Bedard outdueled Buehrle, who fell to 6-and-5. Buehrle lost a complete-game six-hitter.