The museum is housed in the Entrepôt Lainé, a former warehouse for colonial goods (sugar, coffee, cocoa, cotton, spices and oils) which were then re-exported to northern Europe by Bordeaux merchants.

[1] The warehouse was built in 1824 by the architect Claude Deschamps, known for the construction of the Pont de pierre of Bordeaux.

[2] The building was restored by the architects Denis Valode and Jean Pistre in the 1980s, the second project that this architectural team had undertaken.

[2] Since 1981, the building also hosts Arc en rêve centre d'architecture, association that organises exhibitions and knowledge exchange about architecture, urban development, landscape and design.

[2] Two theater companies joined Sigma and CAPC, as well as the architecture center Arc en rêve.

[9] In 1990, the CAPC Musée and the arc en rêve architecture center occupied the entire warehouse, which was reopened after renovations in June 1990.

[2] By order of January 19, 2021, the Center of Contemporary Art of National Interest label is awarded to capc.