Norris gave up three hits and struck out seven without walking a batter. It was Norris' second start against Baltimore. In his first, he allowed one hit in 1 2-3 innings.
The Orioles' run scored in the third when Norris hit Nolan Reimould with a pitch, and Caleb Joseph doubled.
Kevin Pillar, who missed 10 days with an oblique strain caused by sneezing, returned to the lineup, and hit a two-run homer for Toronto.
Orioles starter Wei-Yin Chen gave up two runs, one of them earned, in five innings. He allowed four hits, struck out one and didn't walk a batter.
Delmon Young homered for Baltimore in the seventh.