Roger Staubach completed nine of 15 passes for 125 yards and the winning touchdown, on a 19-yard toss to Dallas teammate Tony Hill in the third quarter, as the National Football Conference downed the American Conference, 13-7, in tonight's Pro Bowl.

The Cowboys' quarterback, who said going into the contest that he was set on finishing the National Football League's longest season on a winning note, completed five consecutive passes in the third quarter after throwing just once in the first period.

His performance outshone that of Terry Bradshaw, the hero of Pittsburgh's Super Bowl triumph over the Cowboys and the AFC's starting quarterback. Bradshaw completed eight of 17 passes for 54 yards.

Tony Green of the Washington Redskins gave the NFC good field position several times in the second half with his punt returns.

The AFC led, 7-6, at halftime as Bob Griese of the Miami Dolphins connected with Steve Largent of the Seattle Seahawks on an eight-yard scoring toss late in the second quarter. Garo Yepremian of the Dolphins added the extra point while Frank Corral of the Los Angeles Rams kicked wide after the NFC's first touchdown.

The NFC scored first, early in the second period on two-yard burst by Philadelphia's Wilbert Montgomery as quarterback Archie Manning of New Orleans, Staubach's backup, marched his team 70 yards in 11 plays.

The NFC's winning drive began at the AFC 45-yard line following a 16-yard shanked punt by Oakland's Ray Guy.

The victory gave the NFC a 5-4 edge in Pro Bowl games since the merger of the NFL and the American Football League.

The NFC spurned a chance to put another touchdown on the board as Manning twice just fell on the ball to run out the clock after his team had a first-and-goal at the AFC five.

A third-year pro who was the first Seattle Seahawk to play in the Pro Bowl, Largent caught five passes for 75 yards, all in the second quarter.

That tied a Pro Bowl record, equaled again later in the contest by Ahmad Rashad. The fleet Minnesota wide receiver accounted for 89 yards on his five receptions and was named the Player of the Game.

The winning touchdown drive began after the NFC was penalized 10 yards to its 45 for holding following Guy's short punt. Staubach hit Rashad with a 15-yard pass, then, after Dorsett lose two yards, connected again with Rashad for a 17-yard gain.

Montgomery picked up six yards up the middle, then Staubach found Hill open in the corner of the end zone.

The players on the winning NFC squad collected $5,000 each while the AFC losers received $2,500 each.