Jeter, Girardi and Tino Martinez produced two-run singles.
The Royals broke open the game in the eighth when Tabler and Danny Tartabull each had two-run singles.
Nixon and Hudler followed with two-run singles.
The Yankees countered with two-run singles by Dave Winfield and Claudell Washington, but they did not constitute a sufficient attack.
Milt Thompson and Terry Pendleton had two-run singles in a four-run seventh.
He allowed two-run singles to David Wright and Reyes that gave the Mets a 4-0 lead after two innings.
Pinch-hitter Nelson Liriano and Mike Kingery each hit two-run singles during a four-run seventh.
David Justice and Sid Bream hit two-run singles off Cliff Brantley (2-4).
Valentin hit a two-run homer off Moore in the third before adding two-run singles in both the fourth and fifth.
The key hits were two-run singles by Lopez and Barkley.