Perez and outfielder Lorenzo Cain were also nominated for Gold Gloves this year.
The 32-year-old beat Manny Machado of the Baltimore Orioles and Jose Ramirez of the Cleveland Indians to win the award.
The awards were voted on by managers and coaches from the American and National Leagues and honor the best individual fielding performances at each position in both leagues. He won his first Gold Glove with the Braves in 2012 and earned the award with the Cardinals in 2015 before signing with the Cubs before the 2016 season. The Platinum Glove will be awarded November 10, during the 2017 Rawlings Gold Glove Award Ceremony.
Third baseman Evan Longoria of the Tampa Bay Rays was awarded the third Rawlings Gold Glove Award of his career on Tuesday. The five Gold Gloves for Arenado tie Walker's franchise record.
Kinsler was the only Gold Glove finalist on the Tigers' roster.
In centerfield, Buxton committed just five errors with six outfield assists.
Major League Baseball announced the winners of the award - which recognizes a player at each position's defensive abilities throughout the season - on Tuesday night. He ranked third in all of baseball in defensive runs saved and second among outfielders. He was also tops among AL first basemen in innings (1338.0) and total chances (1314), while finishing second in putouts (1314) and fourth in fielding percentage (.997).