The House of Delegates of the United States Olympic Committee (USOC) is meeting here this weekend to elect officers, shape programs and approve a budget for the next four years. In the process, the USOC hopes to put the trauma of last year's Summer Olympics boycott behind it and look ahead to a period of growth leading up to the 1984 Summer Games in Los Angeles.

William E. Simon, who served as U.S. Secretary of the Treasury in the Nixon and Ford administrations and was an influential figure in Ronald Reagan's presidential campaign, will be elected president of the USOC Saturday, succeeding Robert J. Kane.

Simon, 53, who served as national fund-raising chairman of the USOC from 1969 to 1973 and has been its treasurer for the past four years, was nominated to head the organization largely because of his impressive financial and business background, and his stature both in corporate board rooms and in Washington.

The USOC's proposed budget for the 1981-84 period is $71.2 million, up more than $22 million from the last quadrennium. Nearly all the revenues needed to cover these expenditures are expected to come from the private sector, primarily through private donations and corporate sponsorship, much of which will be tied to the Los Angeles Games.

The USOC also will seek federal funding for approximately $35 million in capital improvements over the next four years to its Olympic Training Center here, according to Executive Director F. Don Miller. Among the facilities most urgently needed are an acquatic center and a winter sports training complex, Miller said.

An expenditure of $4.5 million for construction of a 6,000-seat, multipurpose gymnasium and sports arena at the training center is included in the $71.2 million budget, which will be presented Sunday for approval by approximately 275 delegates representing the various amateur sports organizations that comprise the USOC.

In addition to upgrading the year-round activities of the training center, the USOC has budgeted for major expansion of its sports medicine, job opportunities and other developmental programs. The budget also includes the costs of selecting, training, outfitting and sending U.S. teams to the 1984 Winter Olympics at Sarajevo, Yugoslavia, and the Summer Games at Los Angeles.

Miller has characterized the next quadrennium as "critical" for the Olympic movement and the USOC, which must re-establish its position as a leader of the international sports community in the wake of the U.S. led boycott of last summer's Moscow Olympics by approximately 50 nations, in protest of the Soviet invasion of Afghanistan.

It was at an emotional House of Delegates meeting here last April that the USOC, under heavy pressure from the Carter administration, voted for the first time not to send a U.S. team to the Olympics.

This time, as the delegates meet, there will be no address from the vice president of the United States, no senior White House staff members waiting anxiously in the lobby, no media horde from around the world waiting to report the results of votes.

The atmosphere is relaxed and optimistic as the USOC prepares to put the pieces of its program back together following the boycott.

"I supported the boycott very strongly, and spoke to that effect last year," said Simon, who considers the boycott to have been a foreign policy success.