Bella Akhmadulina, one of the most daring poets of the Soviet era, died aged 73 on Monday.
Writer Yevgeny Popov said she died in her home outside Moscow.
President Dmitry Medvedev and Prime Minister Vladimir Putin have expressed their condolences to the poet's relatives.
During the thaw of the 1960s, Akhmadulina and fellow poets Yevgeny Yevtushenko, Andrei Voznesensky and Robert Rozhdestvensky packed out stadiums across the USSR and travelled abroad to Europe and the Unites States - something very few Soviet people were allowed to do.
She published her surreal short story "Many dogs and one dog" in the Samizdat publication, the Metropol Almanac, in 1979.
She was awarded the USSR State Prize later that year.
MOSCOW, November 29 (RIA Novosti)