1923: purchased by Graf Kielmansegg from Theo van Doesburg, Leiden/Weimar

1937: lent to the Staatlichen Kunstsammlungen Weimar by Graf Kielmansegg

1937: purchased by Nelly van Doesburg (1899-1975), Meudon, from Graf Kielmansegg

1975: inherited by Wies van Moorsel from Nelly van Doesburg, Meudon

1981: given to the Dienst Verspreide Rijkscollecties, today the Netherlands Cultural Heritage Agency, Rijswijk, by Wies van Moorsel

La Section d'Or - Paris. Internationale tentoonstelling van werken van kubisten en neo kubisten, Rotterdamsche Kunstkring, Rotterdam, 20 June 1920–4 July 1920, no catalogue.

La Section d'Or - Paris. Internationale tentoonstelling van werken van kubisten en neo kubisten (?), Haagsche Kunstkring, The Hague, 11 July 1920–1 August 1920, no catalogue.

La Section d'Or - Paris. Internationale tentoonstelling van werken van kubisten en neo kubisten (?), Korenbeurs, Arnhem, August 1920–September 1920, no catalogue.

Grosse Berliner Kunstausstellung, Landesausstellungsgebäude am Lehrter Bahnhof, Berlin, 19 May 1923–17 September 1923, Cat.no. 1147, p. 31, as Wandbild (in 3 Teilen).

Retrospektiv Theo van Doesburg, Landesmuseum, Weimar, 16 December 1923–23 January 1924, as Komposition XX (3 teiliges Wandbild), 1919.

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

, no catalog.

Theo van Doesburg, Stedelijk Museum, Amsterdam, 2 May 1936–31 May 1936, cat. no.  53, p. 102, as Composition en trois tableaux, Gräfin Trudis von Kielmansegg.

Theo van Doesburg, Van Abbemuseum, Eindhoven, 13 December 1968–26 January 1969, Gemeentemuseum Den Haag, The Hague, 17 February 1969–23 March 1969, cat. no.  A30, image, as Compositie met drie schilderijen.

Theo van Doesburg 1883-1931/Konstruktive Kunst, Kunsthalle Nürnberg, Nuremberg, 18 April 1969–1 June 1969, Kunsthalle Basel, Basel, 9 August 1969–7 September 1969, cat. no.  A23, with image, as Komposition XVIII.

De Stijl, 1917-1931, Visions of Utopia, Walker Art Center, Minneapolis, 31 January 1982 - 28 March 1982, The Hirshhorn Museum and Sculpture Garden, Smithsonian Institute, Washington, 20 April 1982–27 June 1982, cat. no.  27, as Composition XVIII (with three paintings).

De Stijl, 1917-1931, Stedelijk Museum, Amsterdam, Kröller-Müller Museum, Otterlo, 6 August 1982–4 October 1982, Cat.no. 36, as Compositie XVIII.

Die Sprache der Geometrie, Kunstmuseum, Bern, 17 March 1984–13 May 1984, cat. no.  24 , with color image, p. 52-53, as Komposition XVIII in drei Teilen.

De Stijl csoport 1917-1931, Magyar Nemzeti Galéria, Budapest, 3 October 1986–3 November 1986, Cat.no. 7.

La beauté exacte. Art Pays-Bas XXe siècle. De Van Gogh à Mondrian, Musée d'Art Moderne de la Ville de Paris, Paris, 25 March 1994–17 July 1994, cat. no.  7, p. 289, with color image on p. 255, as Composition XVIII.

De Stijl 1917-1932. Art and environment of neoplasticism, Sezon Museum of Art, Tokyo, 13 December 1997–15 February 1998, Hyogo Prefectural Museum of Modern Art, Kobe, 21 February 1998–5 April 1998, Toyota Municipal Museum of Art, Chunichi, 21 April 1998–21 June 1998, Cat.no. 1-007, p. 83, with color image.

Aufstieg und Fall der Moderne, Kunstsammlung zu Weimar, Weimar, 9 May 1999–1 August 1999, Cat.no. 216, image.

Monogram and date:

AnonymousUnknown author, RKDimages, Art-work number 215663, as Composition XVIII in three pieces, 1920, april-mei

De Stijl, vol. 5, no. 12 (December 1922), image.