Morrow (1-1) earned his first victory of the season in his fourth start, stifling the Royals on seven hits while issuing only one walk and striking out three.
Jose Bautista belted a go-ahead two-run homer in the sixth inning as Toronto retained a share of first place in the American League East with the New York Yankees.
Bruce Chen (0-2) absorbed the loss, allowing three runs on six hit over seven frames for the Royals, who extended a team-record 11-game home losing skid with the setback.
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