Strasburg worked five scoreless innings, allowed five hits, but struck out five batters, for his first win after racking up three spring losses with sub-par performances.
The win will serve as an emotional boost for the 23-year-old Strasburg, who will be back in the Washington rotation after missing most of last season due to injury. The righty fire-baller went 1-1 in 2011 in five late-season starts with the Nats after going 5-3 in 12 starts as a rookie in 2010.
While Strasburg and three other Washington hurlers were keeping the Mets off the scoreboard, Nationals' hitters banged out 17 hits, including a 3-for-3 effort from center fielder Roger Bernadina, who singled twice, cracked his first homer of the spring and drove in four runs.
The victory snapped an 11-game losing streak for the Nationals, who are 6-13 in Grapefruit League play.
Minor league prospect Scooter Gennett hit for the cycle as Milwaukee downed Kansas City, 7-3, in Surprise, Arizona, Sunday.
Gennett, a second baseman who will likely start the season with the Brewers' AA affiliate, Huntsville, in the Southern League, capped his feat with a two-run homer in the 8th inning, sealing the win for the Brew Crew.
Gennett got the toughest of the cycle hits, a triple, in the first inning, doubled in the second and singled in the sixth, going 4-for-5 with three RBI and two runs. Gennett, who is not on the Brewers' major league roster, has a .500 batting average (5-for-10) this spring.