New York produced three homers while winning for the seventh time in eight games.
Wright's homer, his 12th, came in the first inning after Jose Reyes and Justin Turner had opened the game with singles. Nick Evans added a solo homer in the second and Lucas Duda had one in the seventh.
R.A. Dickey (7-11) went six innings to get the win. He gave up three runs on nine hits and owned a 6-3 lead when he left the contest.
Washington, which has dropped three in a row, got a two-run blast from Rick Ankiel in the fifth. Ross Detwiler (2-5) gave up Wright's homer and six other hits over just three innings to take the loss.