In the 1972 and 1973 seasons, Morris earned Super Bowl rings in Super Bowl VII and Super Bowl VIII, and was selected for the Pro Bowl in both years. In 1972, he shared the halfback position with Kiick, participating in a few less plays than Kiick, but having more carries as a running back. That year, he ran for exactly 1,000 yds on 190 carries, becoming, with teammate Larry Csonka, the first 1,000-yard tandem in NFL history. Morris was first thought to have finished with 991 yards, but the Dolphins' management asked the league to examine a play in which Morris fumbled a lateral; Morris was awarded the nine yards previously recorded as lost on the play, giving him 1,000 yards for the season. That year, Morris also led the NFL with 12 rushing touchdowns, and his 5.3 yard per carry average was third in the NFL.