The Eagles have scored 17 consecutive points to take their first lead.
Jalen Hurts scored on his second 1-yard touchdown run in the last 4:03 to give the Eagles a 17-10 lead on Washington.
The Eagles closed the first half with a 1-yard Hurts touchdown run, which came with 1:29 remaining in the second quarter, and tied the score at 10-10 at halftime.
They opened the second half with a six-play, 75-yard drive.
Hurts capped it with his quarterback sneak with 12:26 remaining in the third quarter.
Miles Sanders had the longest run of the season for the Eagles, with a 37-yarder. He has 15 carries for 114 yards.