Betts won the award for the third straight year while leading all major league right fielders with 20 defensive runs saved. Bradley won for the first time, and Kinsler -- acquired from the Los Angeles Angels at the trade deadline -- took home his second award.
The National League's Gold Glove winners featured a tie at first base, with the honor going to both the Atlanta Braves' Freddie Freeman (first award) and Chicago Cubs' Anthony Rizzo (second). It's the fourth tie in Gold Glove history, according to ESPN Stats & Information.
The Braves matched the Red Sox with three Gold Glove winners, as Freeman was joined by center fielder Ender Inciarte (third) and right fielder Nick Markakis (third).
Nolan Arenado of the Colorado Rockies continued his perfect record among NL third basemen, winning the award for the sixth time in his six-year career.
Royals catcher Salvador Perez won AL honors for the fifth time in six seasons, as he threw out an MLB-best 46 percent of runners trying to steal.
The Oakland Athletics' corner-infield tandem of first baseman Matt Olson and third baseman Matt Chapman each took home his first Gold Glove. Each led MLB in defensive runs saved at his position (14 for Olson, 29 for Chapman).