Maholm (10-7) retired 14 straight batters and allowed just one runner as far as third base. Sixty-four of his 95 pitches were strikes.
The left-hander, obtained in a trade last month from the Chicago Cubs, notched his first victory as a Brave after dropping his Sunday debut. He didn't issue a walk and fanned five.
Jason Heyward and Dan Uggla each socked a two-run homer for Atlanta, which took the opener of a three-game set and its sixth in eight games overall.
Matt Harvey (1-3) was tagged with the loss after giving up two runs on just two hits over six full innings for the Mets, who fell to Atlanta for the sixth straight time.
2014: The Year in Music [PHOTOS]