The Kirov Ballet, one of the world's finest companies, will perform at Wolf Trap in early June as part of the Leningrad-based troupe's first tour of the United States since 1964, it was learned yesterday.

Agreement between Soviet authorities and U.S. representatives for the Wolf Trap appearance was concluded in New York yesterday, according to sources close to the negotiation.

The Kirov's American tour is a direct outcome of the cultural exchange agreement reached during last November's summit meeting between President Reagan and Soviet leader Mikhail Gorbachev. Official announcement of the tour is expected today during a White House press briefing.

Canadian officials announced last year that the Kirov -- generally regarded in the ballet world as the historic exemplar of classical style -- would appear at Vancouver's "Expo '86" world festival, a major coup for the Canadians. The company is scheduled to perform there May 14-17, before the American tour.

The Wolf Trap performances will be June 2-5. The first two nights will be devoted to the company's production of "Swan Lake"; the second two will feature a repertory program to be announced.

The tour will also include stops in Los Angeles at the Shrine Auditorium, May 21-26; Philadelphia, at the Mann Music Center, May 28-31; Montreal, at the Palace des Arts, June 6-8; and Ottawa, at the National Arts Centre, June 11-14.

The Kennedy Center was earlier involved in negotiations to present the Kirov, but had no available open dates at the Opera House before mid-June, when the Kirov must return to Leningrad for the annual "White Nights" Festival.

Founded in 1738, the Kirov Ballet has produced many of the world's most celebrated dancers, including Mikhail Baryshnikov, Rudolf Nureyev and Natalia Makarova, all of whom defected to the West. In earlier decades of this century, George Balanchine, Anna Pavlova, Vaslav Nijinsky and Michel Fokine were among its members. The ballets "Swan Lake" (the second and definitive version), "The Sleeping Beauty" and "The Nutcracker" -- all set to orchestral masterworks by Tchaikovsky -- as well as "Raymonda" and many other staples of the classical repertoire were given their premieres by the Kirov. (The company was previously known as GATOB, and in prerevolutionary times, as the Imperial Ballet of the Maryinsky Theater.)

The Kirov has made two previous visits to this country, first in 1961 and then in 1964, both times appearing in Washington (at Loew's Capitol Theater in '61, and the Washington Coliseum in '64). The closest the company has come to the Western Hemisphere since '64 was an engagement in Paris in 1982.

The present artistic director of the Kirov Ballet is 48-year-old Oleg Vinogradov, who assumed the post in 1977. Details of programming and casting for Wolf Trap and the rest of the company's tour are expected to be announced shortly.

Other Russian dance troupes already mentioned as candidates for cultural exchange tours include Moscow's Bolshoi Ballet and the Moiseyev Folklore ensemble, both of which are under consideration for future Kennedy Center engagements.