Gordon, the winner in left field in the American League last year, is joined by right fielder Jeff Francoeur, third baseman Mike Moustakas and first baseman Eric Hosmer as 2012 finalists.
The winners will be announced on ESPN2's awards show at 8:30 p.m. CT on Tuesday.
Gordon's competition this year comes from Tampa Bay's Desmond Jennings and Texas' David Murphy. Francoeur, a Gold Glove winner in 2007 for Atlanta, is going against Cleveland's Shin-Soo Choo and Oakland's Josh Reddick.
This is the second year that outfielders will be chosen by specific position. Last week, Gordon was named the left fielder on the all-Major League defensive team by the Fielding Bible.
Moustakas is competing against Adrian Beltre of Texas, the winner in three of the last five years, and Brandon Inge of Oakland. Hosmer's first-base co-finalists are Adrian Gonzalez of Boston (now with the Dodgers after an in-season trade) and Mark Teixeira of New York. Gonzalez unseated Teixeira last year for his first AL award after winning twice in the National League.
All 18 winners will be eligible for the Platinum Gold Glove Award, which goes to the best defensive player in each league. Fans can vote on that at Rawlings.com, and the two winners will be announced at a Nov. 9 dinner in New York.