Choo hit .387 with a .500 on-base percentage over his final 32 games in September and October, Major League Baseball (MLB) noted on its website.
Texas went 20-12 over its final 32 games to clinch the AL West, and Choo started all of those games, MLB said, adding that the 33-year-old had 46 hits and scored 30 runs in September and October.
It is the second time for Choo to be chosen as the AL Player of the Month. He won the monthly honor in September 2008 when he played for the Cleveland Indians.