Ivan Lendl defeated Guillermo Vilas, 7-5, 6-2, 2-6, 6-4, to win yesterday's $250,000 World Championship Tennis winter final at Detroit's Cobo Arena.

The victory was the 62nd straight indoors for Lendl, 22, who last week beat John McEnroe in straight sets for the Volvo Grand Prix title.

Lendl won $125,000, Vilas $40,000.

Lendl, who didn't seem to get into the flow of the match until the fourth set, served seven aces, three in the final set. However, it was his machine-like play along the base line that kept him in contention until he found his serve.

"I was very disappointed because I was missing from the base line, especially in the second set," Lendl said. "It was very frustrating for me."

With the score 2-2 in the fourth set, Lendl broke Vilas' service after going to deuce, winning on two long rallies. Each man won his service the rest of the way, but it was clear that Lendl was the better.

Said Vilas, "When I had my chances I didn't take advantage" . . .

In Marco Island, Fla., Andrea Jaeger took only 70 minutes to beat Hana Mandlikova, 6-1, 6-3, in the final of the $100,000 Avon Cup tournament. Jaeger outplayed Mandlikova from start to finish using an array of deep ground strokes and powerful volleys. Mandlikova, a versatile shotmaker, never found her groove.

"She's so talented," Jaeger said. "But maybe she's too talented. She has so many shots in her bag, she sometimes doesn't know which one to pick.

"Midway through the (first) set, she started to come to the net, but just about that time I got used to it and got my passing shots down. I guess you could say I adjusted to her game plan."

Said Mandlikova, "Sometimes you don't have a good day. But I will play again, and I will play better."