Last week, the Sooners (1-1) were upset by BYU and lost Heisman Trophy-winning quarterback Sam Bradford to a shoulder injury. Bradford is expected to be sidelined two to four weeks.
Jones completed 18-of-32 passes for 286 yards.
DeMarco Murray rushed for 101 yards and two touchdowns for the Sooners. Broyles gained 155 yards on seven receptions.
Kyle Blum hit on 11-of-26 passes for just 66 yards for the Bengals (0-2).