Marcus Allen of Southern California, the first running back in college football history to gain more than 2,000 yards in a season, tonight was named winner of the 1981 Heisman Trophy, which is presented annually to the outstanding college football player in America.

"I guess I've found my place in history," Allen said. "In acting, it's the Oscar. In football, it's the Heisman."

The USC star said the Heisman was "an award you can't win by yourself. I'd like to thank the team, my parents and, most of all, God, for allowing this to happen . . . This is a very humbling experience."

Allen totaled 1,797 points in the balloting to win the award. Finishing second was Georgia running back Herschel Walker (1,199), followed by quarterbacks Jim McMahon of Brigham Young (706), Dan Marino of Pittsburgh (256) and Art Schlichter of Ohio State (149).

Allen set 10 NCAA records and tied another during the 1981 season for the 9-2 Trojans. There were five consecutive 200-yard games and a career-high 289-yard performance against Washington State.

He finished the regular season with 2,342 yards, averaging 213 per game. That pushed his career total to 4,682 yards, sixth on the all-time list.

Allen, who is 6-foot-1 3/4 and 202 pounds, is the fourth USC tailback to win the Heisman.

Balloting is done by a nationwide panel of 1,050 college football writers and broadcasters.