Steelers running back Chris Rainey ran the ball in from one yard out to put the Steelers ahead, 14-13, with one second left on the clock.
Before the Steelers' last-second score, the Browns had scored 13 unanswered points. Phil Dawson kicked a 28-yard field goal in the first quarter and a 32-yard field goal in the second quarter to aid the Browns' offense.
Cleveland's lone touchdown came early in the second quarter. Brandon Weeden found Jordan Cameron for a 5-yard touchdown pass to give Cleveland a 10-7 lead.
The Steelers jumped on the board first, and quickly. Linebacker Lawrence Timmons picked off a Weeden pass and took it 53 yards for a touchdown. The pick-six gave the Steelers a 7-0 lead with 13:49 left in the first quarter.
The Steelers turned the ball over three times in the first half. All were on lost fumbles.
Charlie Batch, who is filling in for injured quarterbacks Ben Roethlisberger and Byron Leftwich, is 8 for 15 for 82 yards at halftime.
Jonathan Dwyer leads the Steelers' ground game with eight carries for 21 yards. Rainey has added a score and seven yards on two carries.
Emmanuel Sanders has four catches for 61 yards to lead the Steelers. Heath Miller has chipped in with 11 yards, and Dwyer has nine receiving yards.
Steelers linebacker LaMarr Woodley left the game in the first quarter with an ankle injury. His return is questionable.