The head of the Genovese organized crime family here, with mob bosses in Chicago and Cleveland, personally selected Roy L. Williams as president of the Teamsters union in 1981, a federal indictment alleged today.

Anthony (Fat Tony) Salerno, reputed chief of the Genovese family, one of New York's five Mafia families, and two Genovese captains, Vincent (Fish) Cafaro and John (Peanuts) Tronolone, further devised "a scheme . . . to control and influence" Williams after his election, according to the indictment.

The three Genovese figures, along with 12 other family members and associates, were also charged in the 29-count indictment with labor racketeering, extensive bid-rigging in Manhattan's construction industry, extortion and bribery in a major food supply network, gambling, and conspiracy to commit two murders.

The indictment, winding up a 2 1/2-year FBI investigation, "may well be the most comprehensive yet brought" in a sweeping assault on organized crime here, according to U.S. Attorney Rudolph W. Giuliani.

Salerno, 74, and the reputed chieftains of the city's four other major organized crime families, are scheduled to go on trial Sept. 8 on charges that they controlled a nationwide "commission" of Mafia families that has operated since 1931.

"The victims are everywhere," said assistant FBI director John L. Hogan at a news conference today. "The pressure which we together are bringing on organized crime will continue until we bring them to their knees."

According to today's 88-page indictment, some of the best known names in New York real estate were victims of the Genovese mobsters who rigged the bids on subcontracts for concrete on a majority of the multimillion-dollar skyscrapers built in Manhattan between 1980 and 1985.

Sixteen projects were named in the indictment including Trump Plaza, a $7.8 million apartment building; a $5.5 million high-rise on East 70th built by Tishman Construction, and the $4.2 million Memorial Sloan-Kettering Residence built by HRH Construction Corp.

According to the indictment, "Only a certain select few concrete construction companies would be permitted to bid for concrete superstructure construction subcontracts valued at more than $2 million dollars . . . . Other companies were directed to submit inflated bids or to refrain from bidding entirely."

Through one defendant, Edward J. (Biff) Halloran, owner of Transit-Mix Concrete Corp. and the Halloran House hotel, the mobsters controlled delivery of ready-mix concrete "to nearly all construction projects in Manhattan," the indictment said. "By threatening to stop or delay deliveries," the mobsters forced construction companies to comply with their bid-rigging scheme, it said.

The Genovese family also used two unions it controlled, the District Council of Cement and Concrete Workers, and Teamsters Local 282, to threaten developers with work stoppages, the indictment said.

The FBI gathered evidence partly through bugs planted at the Palma Boys Social Club in East Harlem, the Genovese family headquarters where Salerno held court.

According to the indictment, after selecting Williams as their candidate for the nation's largest union, the Genovese mobsters then influenced officials of two Teamster locals it controlled in New York -- Local 282 and Local 560 -- to support Williams' election as interim general president.

The indictment charged that Milton Rockman, a reputed Cleveland mobster, met with Cleveland, Chicago and New York crime bosses to engineer Williams' election.

Williams, who resigned in 1983, is serving a 10-year sentence for conspiracy to bribe former senator Howard Cannon (D-Nev.). In November, he testified in another trial that he took monthly payoffs from a Kansas City mob boss.