Following the Soviet Union's collapse, the Bolshoi faced instability. Grigorovich moved to Krasnodar to found a new ballet company. He returned to the Bolshoi in 2008 as a choreographer and ballet master.
Grigorovich received top Soviet and Russian honours, including the titles People's Artist of the USSR and Hero of Socialist Labour. His wife, renowned ballerina Natalia Bessmertnova, died in 2008.
His death came on the same day as that of one of his most celebrated collaborators, dancer Yuri Vladimirov, aged 83.
Valery Gergiev, the controversial head of the Bolshoi and Mariinsky theatres, told Izvestia newspaper that Grigorovich was "a legendary figure who will continue to command respect and admiration for decades to come".
Gergiev, a long-time backer of Russian President Vladimir Putin, has seen his global stature collapse since Russia's full-scale invasion of Ukraine, with major institutions across Europe severing ties due to his refusal to condemn the war.
Known for endorsing Russia's seizure of Crimea and receiving top state honours, Gergiev remains a central cultural figure within Russia.
In January, Putin wished Grigorovich happy birthday, calling him "the pride of the Russian ballet" who "embodies an entire era in the history of Russian".