Jones compiled 222 yards, going 21-of-36 through the air, while Stills made a scoring reception en route to 121 yards for the Sooners (1-0).
Oklahoma was led on the ground by Damien Williams, who ran for 104 yards and a touchdown on 10 carries.
Nathan Jeffery gained 177 rushing yards on 21 attempts for the Miners (0-1).
Jessica Simpson shares three-way kiss with friends in photo
Dennis Rodman pledges to end trips to North Korea