Tom Brookens and Glenn Wilson spoiled Billy Martin's homecoming as Yankee manager by driving in three runs apiece to lead the Detroit Tigers to a 13-2 rout of New York yesterday before 55,579 at Yankee Stadium.

Brookens had two singles, a double and a home run and Wilson had a single, double and triple as the Tigers got six runs off Ron Guidry (0-1) in 5 1/3 innings. Mike Ivie, Alan Trammell and Lou Whitaker each had two RBI for Detroit, which totaled 16 hits.

The winning pitcher was Dan Petry (2-0), who gave up eight hits in eight innings; Juan Berenguer pitched the ninth.

A regular-season record crowd at the new Yankee Stadium turned out to welcome Martin back for his third term as Yankee manager. But the only thing it could cheer about were back-to-back doubles by the club's free-agent acquisitions, Steve Kemp and Don Baylor, in the fourth, and a homer by Roy Smalley in the eighth.

The crowd gave Martin a standing ovation when he was introduced before the game, but by the end of the game the cheers had mostly turned to boos for the Yankees.

"I was touched by the ovation I received," said Martin. "It is special to be a Yankee and hopefully it will get back to the players but it will take some time. After all, I played for the Yankees. The difference between this homecoming and the other two was that we got the hell kicked out of us. Tomorrow's another day. It's only April."

The Tigers took a 2-0 lead in the second inning. John Wockenfuss walked, Ivie doubled him home and Brookens got a run-scoring single. Brookens hit his first homer of the season in the fourth and, after the Yankees scored in their half of the inning, the Tigers broke the game open in the sixth.

Guidry walked Lance Parrish to lead off the sixth and Wockenfuss followed with a hit-and-run single to right that sent Parrish to third. Ivie scored Parrish with a sacrifice fly and Wilson followed with a triple that scored Wockenfuss and finished Guidry. Wilson scored on a double by Brookens off reliever Dale Murray.

Manager Sparky Anderson was back with the Tigers after missing the last game to be home in Thousand Oaks, Calif., with his son Albert, injured in an auto accident last week.