Los Angeles was down 5-1 after three innings, but Ohtani’s solo homer in the seventh inning extended his hitting streak to nine games and tied it at 5-5.
The two-run shot in the 12th off Cole Ragans (2-3), the fifth Texas pitcher, was Ohtani’s 20th homer of the season. The opposite-field shot to left provided the 10th career multihomer game for the two-way star, who was the designated hitter in the series opener and is scheduled to pitch in the finale Thursday night.
Chad Wallach also hit a two-run homer in the 12th off Ragans.
Ohtani finished with four RBIs, pushing his season total to 50. He also had a sacrifice fly in the Angels’ three-run fifth, when the other runs came in on a throwing error and a wild pitch.
Rookie right-hander Sam Bachman (1-0) worked two scoreless innings for his first big league victory. Aaron Loup worked the bottom of the 12th, allowing an unearned run.
Ezequiel Duran hit a three-run homer in the second inning for the Rangers (41-24), who have lost three of four. They were coming off their first series loss in nearly a month, dropping two of three at Tampa Bay in a matchup of the teams with the two best records in baseball.
Mike Trout had an RBI single in the Angels third, but the Rangers stretched their lead to 5-1 in the bottom of that inning on an RBI single by Josh Jung before he scored on Mitch Garver’s double.
The Angels, who have won six of their last seven games, needed a pair of standout of defensive plays to get out of the 10th inning.
Runners were at second and third with their infield playing in when second baseman Luis Rengifo fielded Leody Taveras’ short-hopper and threw home to get out Josh Smith. There was then hard grounder to the right of shortstop Zach Neto, who initially dropped it before recovering with a strong throw to retire Marcus Semien at first for the third out.
Will Smith, the fourth Rangers pitcher and their usual closer, retired all six batters he faced in his two innings. That included striking out Ohtani on four pitches and getting Trout on a routine flyball to start the ninth.