Jones completed 30 of his 40 pass attempts. Among his favorite targets was Ryan Broyles, who finished with 124 yards and a touchdown reception on 12 catches.
Cameron Kenney, James Hanna and Trent Ratterree caught one TD pass each in the lop-sided win.
DeMarco Murray keyed the ground game for the Sooners (2-0), rushing for two touchdowns while gaining 51 yards on 16 carries.
Oklahoma dominated the first meeting between the perennial college football powers since the Sooners' 13-2 victory in the 2000 national title game.
The Seminoles (1-1) got 113 yards from quarterback Christian Ponder, who completed only 11-of-28 passes and was intercepted twice.
Jermaine Thomas rushed for 58 yards and a touchdown on 11 carries in FSU's defeat.