"Our demonstration will call on the government and communists to bury Lenin in a humble grave at the Volkovskoye Cemetery in St. Petersburg," representatives of the yet-unregistered organization, who identify themselves as Orthodox monarchists, said.
Lenin said he wanted to be buried in Russia's second-largest city of St. Petersburg.
On Wednesday Russia celebrates the 85th anniversary of Lenin's death. His embalmed body has been on public display in a glass case in a mausoleum in Red Square since he died following a series of strokes in 1924.
His continuing presence in the heart of Moscow has been an ongoing source of controversy since the break up of the Soviet Union in 1991.
Some 50 young people wrapped from head to toe in white bandages, and carrying coffins with Lenin's name, are due to join a procession of thousands of communists, who will lay wreaths at the mausoleum on Red Square.
"There will be no crowd standing and chanting slogans... The mummies will join the procession of communists," a spokesman for the organization said, promising that "the mummies will be quiet, just the way mummies should be."
The organization previously held a demonstration in support of Lenin's burial near the graves of his mother and sisters at the Volkovskoye Cemetery, where the group erected a headstone with the name of the communist leader.
An opinion poll has shown that two thirds of Russians believe that the embalmed body of the architect of the 1917 Russian Revolution should be removed from its mausoleum on Red Square and buried.
Demands to transfer the Russian communist leader's body to a regular cemetery have consistently been countered by Russian communists, who insist that the tomb on Red Square remain his final resting place.