The Browns' win saw them match the Pittsburgh Steelers with an equal-best record of 6-3 in the American Football Conference North - clearly the strongest of the eight divisions in the league.
Bengals quarterback Andy Dalton had a shocker in front of his own fans at Paul Brown Stadium, completing just 10 of 33 pass attempts - and throwing three interceptions.
Opposite number Brian Hoyer stayed out of trouble for the Browns, completing 15 passes from 23 attempts for 198 yards - although all of Cleveland's three touchdowns were rushed.
Terrance West, Isaiah Crowell and Ben Tate all crossed for six-pointers in each of the first, second and third quarters, while Billy Cundiff added six points - three extra points and a 32-yard field goal.
The Bengals are third in the division, despite a 5-3-1 record.
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