Since 2012, cmb has held exhibitions based on pieces from its collection and the current artistic production. “Geometries” opened the collection's first exhibition space and featured a curatorial text by Paulo Miyada. The same location, an apartment in the Pinheiros neighborhood, in São Paulo, also housed artistic residencies for professionals from outside Brazil.

In the following years, exhibitions have addressed the conceptual experimentalism of the 60s and 70s, feminism of the 80s, and contemporary Latin American production, prioritizing printed, audiovisual, and ephemeral materials, in addition to performances and hybrid practices.

In November 2021, cmb inaugurated its new space in Vila Operária on Travessa Dona Paula, in São Paulo.