The Arcimboldi, which said it had taken the decision in agreement with the artist's company, said it was firmly against the war in Ukraine, noting it had staged shows by the Russian dissidents' group Pussy Riot and Ukrainian artists.
Polunin, one of the biggest names in the dance world and a former principal at the Royal Ballet in London, was born in Ukraine, but acquired Russian citizenship in 2018. There was no immediate reply to a request for comment via his website.
In September, while on tour in Uzbekistan, he performed a dance in military uniform for fallen Russian soldiers, earning a reprimand from Uzbek authorities, who said he had deviated from an agreed programme.