Born 1879 near Kiev to ethnic Poles as the first of 14 children, he is baptised in the Roman Catholic Church. His father manages a sugar factory. Family moves often and he spends most of his childhood in the villages of Ukraine amidst sugar-beet plantations, far from centers of culture. 1895-96 studies drawing in Kiev.
1896-1904 lives in Kursk. 1904 moves to Moscow after the death of his father. 1904-10 studies at the Moscow School of Painting, Sculpture and Architecture, and in the studio of Fedor Rerberg in Moscow. 1911 participates in the second exhibition of the group Soyuz Molodyozhi (Union of Youth) in St Petersburg, together with Tatlin; 1912 at the group's third exhibition along the works by Ekster, Tatlin and others. 1912 participates in an exhibition by the collective Donkey's Tail in Moscow. By that time his works were influenced by Natalia Goncharova and Mikhail Larionov. March 1913 a major exhibition of Aristarkh Lentulov's paintings in Moscow, Malevich absorbs the cubist principles. 1913 well-received Cubo-Futurist opera Victory Over the Sun with Malevich's stage-set. 1914 exhibits in the Salon des Independants in Paris with Archipenko, Delaunay, Ekster and Meller, among others.
1915 lays down the foundations of Suprematism in manifesto From Cubism to Suprematism. 1915–1916 works with other Suprematist artists in a peasant/artisan co-operative in Skoptsi and Verbovka village. 1916–1917 participates in exhibitions of the Jack of Diamonds group in Moscow together with Altman, Burliuk and Ekster, among others. 1915 paints Black Square. 1918 paints White on White. 1918 decorates a play, Mystery Bouffe, by Mayakovsky produced by Meyerhold. Interested in aerial photography and aviation, which leads him to abstractions inspired by or derived from aerial landscapes.
1918-19 a member of the Collegium on the Arts of Narkompros, the Commission for the Protection of Monuments and the Museums Commission. 1919-22 teaches at the Vitebsk Practical Art School; 1922-27 at the Leningrad Academy of Arts; 1927-29 at the Kiev State Art Institute; 1930 at the House of the Arts in Leningrad. 1926 his book The World as Non-Objectivity is published in Munich, only translated into English in 1959; where he outlines his Suprematist theories. 1923 appointed director of Petrograd State Institute of Artistic Culture, which is forced to close in 1926 after a Communist party newspaper called it "a government-supported monastery" rife with "counterrevolutionary sermonizing and artistic debauchery." 1927 travels to Warsaw, then to Berlin and Munich for a retrospective which finally brings him international recognition. Arranges to leave most of the paintings behind when he returns to the Soviet Union. Stalinist regime turns against forms of abstraction, considering them a type of "bourgeois" art, that could not express social realities; many of his works were confiscated and he is banned from creating and exhibiting similar art. Quietly tolerated by the Communists. Died of cancer in 1935 in Leningrad.