The Angels have won six straight and nine of 10. Their 12-3 start matches their best record after 15 games, set in 1979.
Zack Cozart and Ohtani, who doubled in his first at-bat, led off the eighth with singles off Justin Grimm (0-2). After Andrelton Simmons advanced the runners with a bunt, Luis Valbuena's pinch-single scored Cozart and moved Ohtani to third. Kinsler's flyout to center drove in Ohtani.
Pujols hit a two-run homer in the third with Kinsler aboard. Pujols' two-out single in the seventh scored Kinsler.
Paulo Orlando had two hits, scored a run and drove in a run to lead the Royals.