Gordon was nominated for the sixth straight season. After winning four straight Gold Glove Awards starting in 2011, Gordon did not win last season.
Royals shortstop Alcides Escobar won the Gold Glove Award in 2015, but he was not a finalist this time around.
Defense has been a priority since general manager Dayton Moore came to the Royals in 2006.
"In our ballpark, defense can win or lose games," Moore said late in the season. "We have to be able to defend."
Added Hosmer, "The strength of our team is pitching and defense.