Andy Dalton threw fourth-quarter touchdowns to Jermaine Gresham and Andrew Hawkins to break open a game that was tied after there quarters.
Washington's Robert Griffin III punched in a 2-yard touchdown with 3:35 left to draw the Redskins within one score, but he could not quite complete the comeback. The Redskins got the ball back in the final two minutes deep in their own territory but could not drive the length of the field for a potentially tying touchdown.
The Bengals' offense moved easily in the first quarter, scoring on the first play from scrimmage, a 73-yard pass from receiver Mohamed Sanu to A.J. Green and then on a 48-yard toss from Dalton to Armon Binns. BenJarvus Green-Ellis also scored a one-yard touchdown in the first half.
Washington's defense provided the team's only touchdown in the first half as Rob Jackson intercepted Dalton on the goal line.
The Redskins stormed back in the third quarter with a seven-yard touchdown run by Alfred Morris and a three-yard touchdown pass from Griffin III to Santana Moss.
The Bengals improve to 2-1 on the season while the Redskins fall to 1-2, having lost two in a row.
Fantasy studs: Andy Dalton and A.J. Green were a powerful tandem for fantasy owners on Sunday. Dalton had 19 completions for 328 yards and three touchdowns. Green had nine catches for 183 yards and a touchdown. Robert Griffin III had another productive fantasy week, throwing for 221 yards and a touchdown on 21 completions; the rookie also ran for 85 yards and a touchdown on 12 rushes. For all the rest of your fantasy football information, visit SB Nation's Fantasy Football Hub.
Odds/Gambling: Washington entered the game as a three-point favorite, meaning that they did not cover the spread. For more NFL odds, check out SB Nation's complete odds page.
Injury info: Washington cornerback Cedric Griffin left the game in the first quarter with a hamstring injury and did not return.
Next up on the schedule: Both the Bengals and Redskins go on the road next week. Cincinnati plays the Jacksonville Jaguars at 4:05 p.m. ET on Sept. 30. Washington will look to bounce back when they play the Tampa Bay Buccaneers at 4:25 p.m. ET on Sept. 30.