Murphy went 4-for-5, delivering a pair RBI doubles, while Wright pounded a three-run homer for the Mets, who took the opener of a three-game series against their National League East rivals.
Niese (7-3) supplied a two-run single to help his own cause while holding the Phillies to three hits. The left-hander won his third straight start, yielding a pair of walks while striking out three.
Phillies starter Vance Worley (4-5) was roughed up for six runs on 10 hits in a four-inning stint.
Carlos Ruiz socked a solo homer for Philadelphia, losers of six straight.