Boris Aleksandrovich Pokrovsky (Russian: Борис Александрович Покровский; 23 January 1912[1] – 5 June 2009) was a Soviet and Russian opera director and pedagogue, best known as the stage director of the Bolshoi Theatre between 1943 and 1982.

His production of Vano Muradeli's opera The Great Friendship was the target of the second Zhdanov Ukase (1948), and it was he who first staged Sergei Prokofiev's War and Peace, in 1946.

In 1965 in Moscow he directed the first Russian-language production of Benjamin Britten's A Midsummer Night's Dream.

In 1972 Pokrovsky founded the Moscow Chamber Opera Theater with Gennady Rozhdestvensky, and he produced operas such as Igor Stravinsky's The Rake's Progress, Alfred Schnittke's Life with an Idiot, and in 1974 the first Soviet production of Dmitri Shostakovich's The Nose since 1929.

He was the father of actress Alla Pokrovskaya, father-in-law of Mariya Lemesheva, and the grandfather of actor Mikhail Yefremov.