For the manifest Voor een spatiaal colorisme and the demonstration of the manifest at the exhibition Een ruimte in kleur at Stedelijk Museum Amsterdam in 1952 by Constant and Aldo van Eyck. Sikkensprijs 1960.pdf
1966 Premio Cardazzo award
From June to November Constant’s Cobra and New Babylon work represents the Dutch contribution at the 33rd Biennale of Venice where he receives the Premio Cardazzo.
1974 David Roëll Award
For his work as a draftsman. Constant received the award during the exhibition Constant, An illustration of freedom at the Stedelijk Museum Amsterdam. The David Röell Award, now called the Prins Bernhard Cultuurprijs, was created in 1963 and is awarded to Dutch residential artists whose exceptional merits have enriched the Fine Arts. David Roëll was director of the Stedelijk Museum Amsterdam between 1936-1945. He did an exceptional job guiding the museum through WWII. He was member of the board of Prins Bernhard Cultuur Fonds and two years after his death the David Roëll Award was instituted.
1985 Jeanne Oosting prijs
For his figurative painting.
1991 Resistance Award
From Stichting Kunstenaarsverzet 1942-1945. He holds a speech at the award ceremony Verzet ook nu (Resistance even today), published in Teksten uitgesproken bij de uitreiking van de Verzetsprijs 1991 op zaterdag 4 mei 1991 in De Nieuwe Kerk Amsterdam, Nijmegen 1991, pp. 21-23.
Lifetime-achievement award awarded by Stichting Fonds voor Beeldende Kunsten, Vormgeving en Bouwkunst. For years the Oeuvreprijs was one of the most prestigious awards in the cultural arena in the Netherlands. Due to budget cuts and merger of some cultural institutions the award was awarded for the last time in 2012.