A key committee of the National Collegiate Athletic Association proposed today that the organization establish a national collegiate football championship game similar to the Super Bowl of professional football.

The NCAA's committee on extra events also decided to recommend a sudden-death tie breaker for postseason football bowl games.

David Strack, the committee chairman, told a press conference at the NCAA's 72nd annual convention here that the two proposal could be implemented for the 1980-81 season if they clear the proper organizational channels in time for a vote at next year's convention.

Strack said his committee voted unanimously to recommend the championship playoff "so college football can have a defined national champion."

Momentum for such a championship playoff has been increasing over the past few years and gained added support last week when the wire services named different No. 1 teams. The AP ranked Alabama first while UPI selected the University of Southern California.

On the tie-breaker proposal for bowl games, Strack said the football rules committee will further develop the proposal before forwarding it to the council.

"It (overtime) would probably be played until there was a score," Strack said. "It would be sudden death or sudden victory depending on whether you win or lose."

The championship would be for Division I-A (major football power schools) only and the mechanics of the playoff -- sites, times, selection procedures -- would be determined by a special committee of the Division I steering committee.

The extra events committee has recommended that the four teams selected for the playoff be teams that participated in Bowl games -- any bowl game, Strack emphasized. The teams in the Rose, Orange, Cotton and Sugar bowls would not automatically be picked, he said.

The championship playoff would take place, preferably at a neutral site, in the two weeks between the four major college bowl games and the Super Bowl, Strack said.

The unanimous vote of the extra events committee was 7-0, but the Big Ten's representative was not present. The Big Ten and the Pacific-10, which the University of Arizona's Strack represents on the committee, have historically opposed such a championship. But even if the proposal were rejected on its route through the intermediate committees and NCAA Council, the proposal can still be brough to the convention floor for a vote next year if six colleges request it. A simple majority of the Division I-A football schools (now numbering 139) would assure passage.