1931: inherited by Nelly van Doesburg (1899-1975), Meudon, from Theo van Doesburg (1883-1931), Meudon

Unknown date: acquired by Andrew Crispo Gallery, New York City

1979: purchased by Baron Hans Heinrich Thyssen-Bornemisza (1921-2002) from Andrew Crispo Gallery

Retrospektiv Theo van Doesburg, Landesmuseum, Weimar, 16 December 1923–23 January 1924, cat. no.  28, as Komposition XX, 1921.

Retrospektiv Theo van Doesburg (?), March 1924–15 April 1924, Kestner Gesellschaft, Hanover

, no catalog.

Les Surindépendants, 26 October 1929–25 November 1929, Parc des expositions de la porte de Versailles, Paris, Cat.no. 302, as Composition, 1920.

‘1940’, Deuxième exposition, Rétrospective Van Doesburg, Parc des expositions de la porte de Versailles, Paris, 15 January 1932–1 February 1932, cat. no.  41, as Composition, 1920.

Theo van Doesburg, Stedelijk Museum, Amsterdam, 2 May 1936–31 May 1936, cat. no.  50, p. 102, as Compositie, 1920.

Liniens Sammenslutning, Efter-expressionisme, abstrakt kunst, neoplasticisme, surrealisme (?), Den frie Udstilling's Bygning, Copenhagen, 1 September 1937–13 September 1937, cat. no.  16, as Toile composition, 1920.

Art Concret, 15 June 1945–13 July 1945, Galerie René Drouin, Paris, Cat.no. 11, as Composition, 1920.

Theo van Doesburg, Retrospective exhibition, Art of this Century Gallery, New York City, 29 April 1947–31 May 1947, cat. no.  26, as Composition, 1919-1920.

Walt Kuhn, Lyonel Feininger and Theo van Doesburg (?), June 1947–15 July 1947, County Museum of Art, Los Angeles, no catalogue.

Theo van Doesburg, San Francisco Museum of Modern Art, San Francisco, 29 July 1947–24 August 1947, no catalogue.

Theo van Doesburg, Paintings, drawings, photographs and architectural drawings, The Renaissance Society of the University of Chicago, Chicago, 15 October 1947–8 November 1947, cat. no.  25, as Composition, 1920.

Theo van Doesburg (?), Cincinnati Art Museum, Cincinnati, 20 November 1947–12 December 1947, no catalogue.

Exhibition Van Doesburg, Robinson Hall, Harvard University, Category:Cambridge, Massachusetts, 5 January 1948–23 January 1948, cat. no.  26, as Composition, 1919.

Painters of De Stijl. Debut of abstract art in Holland, 1917-21, Sidney Janis Gallery, New York City, 17 May 1951–2 June 1951.

De Stijl, Stedelijk Museum, Amsterdam, 6 July 1951–25 September 1951, cat. no.  81, as Compositie, 1921.

25th anniversary exhibition. From Picasso to Dubuffet, from Brancusi to Giacometti, Sidney Janis Gallery, New York City, 2 October 1973–3 November 1973, ill. 123.

Mondrian und De Stijl, Galerie Gmurzynska, Cologne, May 1979–August 1979, without cat. no.  , p. 109, as Composition, 1919.

Masters in 20th century art, 2 October 1979–3 November 1979, Sidney Janis Gallery, New York City, no catalogue.

The spirit of modernism. The Tremaine Collection: 20th Century masters, 26 February 1984–29 April 1984, The Wadsworth Atheneum, Hartford, as Composition, 1919.

Meisterwerke des 15.-20. Jahrhunderts aus der Sammlung Thyssen-Bornemisza, Nationalgalerie, Budapest, 3 October 1985–1 December 1985, Neue Galerie, Szombathely, 13 December 1985–9 February 1986, Cat.no. 42, p. 121, as Kompozíció, 1919/1920.

Pioniere der abstrakten Kunst aus der Sammlung Thyssen-Bornemisza, 1 September 1986–30 September 1986, Galerie Gmurzynska, Cologne, p. 82.

Wege zur Abstraktion. 80 Meisterwerke aus der Sammlung Thyssen-Bornemisza, Villa Vauban, Luxembourg, 30 April 1988–18 July 1988, Haus der Kunst, Munich, 13 August 1988–9 October 1988, Museum des 20. Jahrhunderts, Vienna, 10 November 1988–15 January 1989, Cat.no. 15, p. 52-53, as Komposition, 1919-1920.

AnonymousUnknown author, Museo Thyssen-Bornemisza, as Composición XX, 1920.

AnonymousUnknown author, RKDimages, Art-work number 215665, as Composition XX, 1920

Merz, no. 2 (April 1923): p. 21, as Kompositie 20. See Digital Dada Library.