The Eagles (7-4) trailed by 24-16 but caught up with a 1-yard touchdown run by Eldra Buckley and a 2-point conversion toss from Donovan McNabb to LeSean McCoy 6 minutes before Akers booted his fourth field goal of the game.
McNabb accumulated 260 yards passing, including a 35-yard touchdown to DeSean Jackson
Akers' other field goals were from 29, 24 and 41 yards.
Jason Campbell threw for 231 yards, with three touchdowns, two passing and one running, for the Redskins (3-8).
Campbell's TD throws were for 4 yards to Santana Moss and 10 yards to Fred Davis, and the quarterback scored on a 1-yard run.