WASHINGTON (AP) _ The score got mangled at times and George Shultz's serve appeared to suffer from jet lag, but the action on the White House tennis court Sunday was all for a good cause.

Celebrities, tennis pros and administration officials gathered for the annual White House tennis tournament to raise funds for Nancy Reagan's anti- drug abuse fund.

President Reagan and the first lady joined a crowd of corporate sponsors and guests on the court, watching tennis stars Tracy Austin, Vince Van Patten Jimmy Arias and Dennis Ralston compete in a match that had no winners - local sportscaster and umpire Glenn Brenner got the numbers mixed up.

The first couple also watched as Secretary of State Shultz and GOP Chairman Frank Fahrenkopf went down in defeat at the hands of Treasury Secretary James Baker III and Wilhelm Wachtmeister, the ambassador of Sweden.

It was the fourth such tennis tournament, and it raised some $500,000 for the Nancy Reagan Drug Abuse Fund.

At the end of the tournament, Mrs. Reagan presented $50,000 checks to two anti-drug abuse groups, the Target Interactive Project of Kansas City, Mo., and Wally's Club and Frontline Foster Grandparents Program of Nashville, Tenn.

''Because of their work, the lives of many parents and children will be much brighter, and America will be an even better place to live,'' Mrs. Reagan said.