NEW YORK (AP) _ Run-DMC and The Beastie Boys announced Monday that they are taking their rocking rap music on a joint national tour this summer, under tight security.

About $500,000 will be spent on the whole tour for private guards, crowd control barriers, metal detectors and training sessions for personnel, said Robert Ford, a vice president at Rush Productions, which manages both groups.

During a Run-DMC tour last summer, 39 people were injured when a wave of fights and stabbings erupted at their Long Beach, Calif., appearance. In New York, 18 people were arrested in a series of robberies during and after the show at Madison Square Garden. Other incidents were reported in St. Louis and Pittsburgh.

''There were some misconceptions about Run-DMC last year,'' Ford said. ''We want to make people feel secure.''

This year's 40-city ''Together Forever'' tour will begin June 13 in Honolulu and move east for a final show in New York Aug. 17. Tickets for the early concerts are already on sale; tickets for other concerts will go on sale about six weeks in advance.

''We're going to go out and rap on the road together,'' said Joseph Simmons of Run-DMC at a news conference announcing the tour.

Run-DMC has three platinum albums. The Beastie Boys, who offer rock music with an emphasis on rap, have one album called ''Licensed to Ill'' and a popular single called ''Fight For Your Right to Party.''