In the years 1931-1934, he played children's roles in the Saratov Drama Theater, where his father, actor Vasily Demyanovich Markov, worked.

At the end of the studio in 1951, Markov was admitted to the troupe of Lenin Komsomol, the scene of which debuted in 1947 as Nekhoda in the play The Honor of His Youth.

Markov played Yasha and later Petya Trofimov in The Cherry Orchard by Anton Chekhov, Petrushin in The Living Corpse by Leo Tolstoy, and a number of other roles of the classical and contemporary repertoire.

In 1960, Markov moved to the Moscow Pushkin Drama Theatre, where, in particular, he played Timofey in Virgin Soil Upturned by Mikhail Sholokhov.

From 1966 to 1986 Markov served in the Moscow City Council Theatre, where he played a number of memorable roles, including Arbenin in Lermontov's Masquerade, Zvyagintsev in a dramatization of the novel Sholokhov's They Fought for Their Country; and Porfiry Petrovich in Petersburg Dreams (based on Fyodor Dostoevsky's novel Crime and Punishment).