Ohtani connected for a three-run homer in the sixth inning, a 426-foot drive to right field to a chorus of "MVP!'' chants. He homered on the same night Kansas City's Salvador Perez homered twice to reach 40.
Ohtani needs four more homers to match the franchise record of 47 set by Troy Glaus in 2000. Of Ohtani's homers this year, 25 have come at Angel Stadium, breaking the single-season team mark of Glaus, who had 24 at home during his big season.
Ohtani's home run came a day after he pitched seven impressive innings to beat the Rangers 3-2.
Suarez (6-7) punched his glove several times and kept the ball from the final out in his first career complete game in the majors.
The 23-year-old lefty struck out eight, walked none and threw 100 pitches. The only run he permitted came in the ninth when Leody Taveras reached on an infield single to start the inning and later scored on Adolis Garcia's groundout.
Kolby Allard (3-12), who grew up in Anaheim, retired the first seven batters of the game. Juan Lagares hit a solo home run in the third.
Rangers: RHP Spencer Howard (COVID-related IL) is expected back in the rotation to start on Tuesday.
Angels: OF Justin Upton (back pain) was scratched from Saturday's lineup after experiencing pain during warmups â¦ RHP Alex Cobb (right wrist) threw a bullpen session at Angel Stadium.
Rangers: LHP Taylor Hearn (4-4, 3.96 ERA) has won his last two starts and threw a season-high 6 2/3 innings last Sunday. He allowed two runs on six hits.
Angels: RHP Janson Junk (0-0, 0.00 ERA) will make his major league debut. Junk was a 22nd-round pick by the New York Yankees, who was acquired in the deal that sent Andrew Heaney to New York.