The team was led by All-AmericansBilly Sims (who won the Heisman Trophy),Daryl Hunt,Reggie Kinlaw, and Greg Roberts, After winning the conference title outright, it earned a trip to the Orange Bowl for a rematch with conference Co-Champion Nebraska to avenge its only loss of the season. During the season, it faced four different ranked opponents (In order, #14 Missouri, #6 Texas, and #4 & #6 Nebraska). Four different opponents finished the season ranked. It endured its only defeat against Nebraska in their regular season match. The Sooners started the season with a nine consecutive wins before losing to Nebraska.
Sims led the nation in scoring with 132 points (based on per game average of 10.9, which includes 120 in 11 games). Sims led the team in rushing with a record-setting 1896 yards, Thomas Lott led the team in passing with 487 yards, Bobby Kimball led the team in receiving with 207 yards, Hunt led the team with 157 tackles and Darrol Ray posted 8 interceptions.
The 5001 yards rushing remain second in Oklahoma football history behind the 1971 team's 5635. The defense set the school's all-time record with 28 interceptions and tied the record of 50 forced turnovers.Daryl Hunt set the school record for career tackles.Billy Sims became the only Sooner to post four 200-yard games in a season. Sims' 1896 yards stood as the Sooner record until Adrian Peterson posted 1925 in 2004.
Billy Sims became the sixth junior to win the Heisman Trophy. Sims was the nation's leading rusher and scorer for 1978. He averaged 160.1 yards and 10.9 points. He set the Big Eight Conference single season rushing record of 1,762 yards on 231 carries for an average of 7.6 yards. Sims was the only back in the nation's top 50 to average 7.0 per carry, and became the first player in Big Eight history to rush for more than 300 yards in three straight games.