Jones completed 26-of-39 passes and DeMarco Murray piled up 182 yards and scored two touchdowns for the Sooners (9-2, 5-2 Big 12), who logged their 20th straight win over Baylor.
They were aided by 12 receptions and a touchdown from Ryan Broyles for 113 yards.
Robert Griffin III was victimized by a pair of interceptions, including one that was returned for a touchdown, for Baylor (7-5, 4-4). He finished with just 124 yards and a score in the Bears' third straight loss.
Celebrity Families of 2014 [PHOTOS]