Garcia's long throw to Davis came in the opening quarter as the Browns evened their record at 3-3. Garcia was 16 of 23 for 311 yards with two interceptions.
The Bengals were shut out in the second half, lost their third in a row and dropped to 1-4.
Cincinnati's Carson Palmer completed 20 of 36 passes for 148 yards with a touchdown and an interception.
was 20-of-36 for 148 yards. He had one touchdown and one interception.
William Green had a career-best 117 rushing yards for the Browns on 25 carries and caught a 59-yard touchdown pass in the fourth quarter. Running back Lee Suggs caught five passes for 100 yards and one touchdown.