The game was tied at 2-2 when the Yankees loaded the bases on two walks and a hit batsman with two outs in the seventh.
Pedro Stroup relieved Troy Patton and he appeared to have gotten out of the inning when Wells hit a ball in the air to center. Jones, however, could not come up with the catch and Francisco Cervelli, Kevin Youkilis and Travis Hafner all scored.
CC Sabathia (2-1) benefited from the error to get the win, allowing two runs on eight hits over eight innings. He struck out nine and did not walk a batter.
It was New York's fourth straight victory.
Miguel Gonzalez (1-1) was charged with the loss in a six-inning effort, having put the winning run on base in the seventh before giving way to Stroup, and Mariano Rivera worked the ninth for his second save.
Celebrity Families of 2014 [PHOTOS]