Matt Harrison (6-6) easily protected the early lead, giving up a run on seven hits with four strikeouts in seven innings.
Three of the first four batters scored in the Texas first off Mike Pelfrey (4-6). Ian Kinsler opened the inning with a double, moved to second on a sacrifice and then scored on Josh Hamilton's single. Beltre followed with his 13th homer of the season.
The Rangers produced a 13-hit attack that featured two-run homers by Michael Young in the seventh and Hamilton in the eighth.
Texas has won five of its last seven and the Mets have dropped five out of eight.
Notable deaths of 2014 [PHOTOS]