In 1950 Pervuhkin was once again appointed Deputy Chairman of the Council of Ministers and in 1952, at the 19th Party Congress, he was elected a member of the Presidium, the renamed Politburo. At the 35th anniversary of the October Revolution in 1952, Pervukhin delivered the main speech at the Moscow Kremlin commemoration. If Stalin was absent or could not carry out his duty as Chairman of the Council of Ministers, government meetings would be chaired, in turn by Pervukhin, Lavrentiy Beria, or Maksim Saburov.