Redskins quarterback Kirk Cousins had four touchdown passes as part of his 365 yards at Lincoln Financial Field.
With the win, the Redskins improved to 8-7 this season and sealed first place in the NFC East.
Jordan Reed had 129 yards and two TDs on nine receptions for the Redskins, who led 16-7 at half-time and built on that advantage.
Eagles QB Sam Bradford completed 37 of 56 passes for 380 yards and a TD.
The Eagles (6-9), who miss the play-offs for a second consecutive season under Chip Kelly, could not get anything going on the ground to compliment Bradford.
DeMarco Murray was the team’s leading rusher with 27 yards and touchdown, but he also had a lowlight fumble that was returned by DeAngelo Hall for a Redskins touchdown.