The president of the International Olympic Committee said yesterday the Olympic movement had recovered from the American-led boycott of the 1980 Moscow Games, and he predicted the 1984 Los Angeles Olympics will be "one of the biggest and most successful."

"At the moment, the Olympic movement is united," said Juan-Antonio Samaranch of Spain, who succeeded Lord Michael Killanin as president of the IOC at the conclusion of the Moscow Olympics. "The boycott is a thing of the past. It has been filed away."

In Washington yesterday for a visit and tour of Gallaudet College, Samaranch will meet with President Reagan today, then fly to Los Angeles for meetings of the various Olympic international sports federations next week.

He said he does not share concerns expressed Wednesday by Soviet Sports Minister Sergei Pavlov that the Los Angeles officials have not taken adequate security precautions for the Games.

Pavlov, in Mexico City to sign a bilateral sports agreement with the Mexican government, told reporters, "I only wish for better vigilance on the part of the Olympic Organizing Committee in Los Angeles to prevent grave incidents that could put in danger the lives of athletes attending."

Pavlov said the Soviets plan to demand better protection for Russian athletes as a condition for participating in the Games, but he denied that the Soviets were retaliating against the United States for the 1980 boycott.

Samaranch said Los Angeles officials will make adequate security arrangements. He did acknowledge that transportation of the athletes to and from the far-flung sites where events will be held might be a problem. The athletes will live in two Olympic villages, one at the University of Southern California and the other at UCLA, Samaranch said.

At Gallaudet yesterday, Samaranch met with Admissions Director Gerald Jordan, whom he first met last summer at the World Games for the Deaf in Cologne, France, and President Edward C. Merrill Jr.

"He invited me to visit, and I promised I would come," said Samaranch. "The Olympic movement wants to do whatever is necessary for the deaf."

Samaranch said he will discuss the Los Angeles Games at his meeting today with Reagan. Next week's meetings of the international sports federations will provide officials with their first opportunity to examine the sites where their athletes will be competing for medals in 1984.