After his training in Warsaw and Moscow, Kliun started his career in Moscow and joined the group Moscow Salon. In Moscow he also met Malevich, who influenced him and ultimately drawn him towards Soyuz Molodyozhi (Union of Youth). His collaborated with Tatlin working in a Cubo-Futurist style. As Malevich founded Suprematism, Kliun followed its principles and joined the group Supremus. In 1918 he became Professor at the VKhUTEMAS and in 1920 he joined the Inkhuk.