The awards for fielding excellence were announced Tuesday by Rawlings.
Perez was honored for the third consecutive season as the AL catcher, as was Hosmer at first base. Escobar won for the first time at shortstop.
The other AL winners were second baseman Jose Altuve and pitcher Dallas Keuchel of Houston, Baltimore third baseman Manny Machado, Tampa Bay center fielder Kevin Kiermaier and Angels right fielder Kole Calhoun.
Other NL winners were Miami second baseman Dee Gordon, San Francisco shortstop Brandon Crawford, Colorado third baseman Nolan Arenado, Pittsburgh left fielder Starling Marte and Dodgers pitcher Zack Greinke.