In Saturday's 9-2 loss to the Rangers, Trout drew a two-out walk in the fifth inning against Yu Darvish, then stole second base and came around to score on a Torii Hunter single. That marked the 13th straight game in which Trout has scored a run, tying the Angels' franchise record and the American League rookie mark.
For the Angels, Jim Edmonds did the same in 1995.
In the AL, Don Lenhardt (1950 St. Louis Browns) and Jake Powell (1935 Washington Senators) scored a run in 13 straight games in each of their rookie seasons.
The 20-year-old Trout is leading the AL with a .354 batting average (20 points higher than the second-place Joe Mauer) and 31 stolen bases, to go along with 15 homers, 47 RBIs and 105 hits since his April 28 callup.
No player since 1920 has had that many RBIs, steals or hits in his first 72 games of a season, according to ESPN Stats.