The 27-year-old third baseman also drove in 29 runs, making him the first Mets player to hit over .400 and have 25 or more RBI in a calendar month.
It's the second time Wright has won the monthly honor.
Florida pitcher Josh Johnson won the league's Pitcher of the Month honor with a 1.18 earned-run average and 3-1 record. The right-hander struck out 38 in as many innings with only six walks.
Also considered for the award were New York's Jonathon Niese, Milwaukee's Yovani Gallardo and Arizonas Edwin Jackson, who threw a no-hitter against Tampa Bay on June 25.