An Aldo De Nigris proved enough to nab Mexico its first win of the calender year and, briefly, top spot in the Hexagonal.
El Tri has six points from four games in the final round of CONCACAF World Cup qualifying. All of the teams aside from Jamaica have a game in hand.
Mexico began the year with six straight draws before the one-goal win in Kingston's Independence Park, nicknamed The Office, on Tuesday.
"We are happy with the result," said Mexico coach Jose Manuel 'Chepo' de la Torre. "It has kick-started our campaign. We knew Jamaica is a fast, counter-attacking team, so we started cautiously."
De la Torre stuck with the same starting lineup that drew 2-2 in a friendly with Nigeria days prior. However, the offensive pep didn't carry over, with Jamaica's deep, well-drilled defense repelling El Tri effectively. The best chance of the first half came from a long-range snap shot by Javier 'Chicharito' Hernandez that skimmed wide of the post.
But the visitors didn't have to wait long to break through in the second half. Minutes after the restart, Gerardo Torrado chipped the ball ahead to the overlapping Carlos Salcido, who crossed into the box. De Nigris met the ball with a header that beat Donovan Ricketts.
On the other end, Jesus Corona had to pull off a pair of reflex near-post blocks to keep El Tri ahead.
A quarter hour into the half, Ricketts rushed out to smother a Chicharito shot once Jesus Zavala slipped the Manchester United striker through.
Jamaica's best chance came midway through the half. Alvas Powell, making his international debut at 18, put the ball in the box, where Marvin Elliott lurked unmarked. The Bristol City midfielder screwed his header into the turf and it bounced wide of the gaping goal.
In the final minutes, Ricketts once again stuffed Chicharito, who had cut back to lose his defender in the box.
The Reggae Boyz are bottom of the Hex with two points from four games.
"We are disappointed. This has set us back," Jamaica coach Theodore Whitmore said. "We allowed the Mexicans to set the pace, they got comfortable on the ball and suffered the consequences."