Duda hit solo shots in the fourth and seventh innings while David Wright also went deep for the Mets, who built off Friday's opening day victory with another triumph.
R.A. Dickey (1-0) held the Braves to two runs on five hits over six innings, overcoming four walks while striking out three.
Jair Jurrjens (0-1) absorbed the loss for the Braves, yielding three runs on seven hits in 4 1/3 innings.
Martin Prado socked a two-run homer for Atlanta.
Celebrity Couples of 2014 [PHOTOS]