Parker carried the ball 32 times and became the first player in Pittsburgh history to have two 200-yard games in the same season.
He rushed for 213 yards in the Steelers' 38-31 win over New Orleans Nov. 12.
Ben Roethlisberger threw for one score on 11-for-21 passing for 225 yards. He also ran for a touchdown for the Steelers (6-7), who have won four of their last five games to keep their slim playoff hopes alive.
In his first career start at quarterback, Derek Anderson went 21-for-37 for 276 yards for Cleveland. Braylon Edwards scored once on four receptions for 86 yards, and Joe Jurevicius made seven catches for 111 yards for the Browns (4-9), who have lost three of their last four games.
Pittsburgh's defense held Cleveland to just 18 yards rushing.
Celebrity Families of 2014 [PHOTOS]