The Browns also had a punt-return touchdown negated by a penalty and failed to score on three straight runs from the one-yard line.
Tommy Maddox went just 9-of-24 for 73 yards and a touchdown, but helped the Steelers (4-7) score 13 points off the Browns' three fumbles as they won for just the second time in eight games.
Five plays after the Browns (4-7) committed their first turnover, a fumble by James Jackson at their own 13, Maddox tossed a one-yard touchdown pass to tight end Mark Bruener to give Pittsburgh a 7-6 lead with 6:28 left in the first half.
Trailing 10-6 midway through the third quarter, Dennis Northcutt, whose 74-yard punt-return score in the first quarter was negated by a holding call, was tackled by cornerback Chad Scott just shy of the goal line.
Swim Week Miami Beach 2014 [PHOTOS]