The Contemporary Architecture Centre Foundation was established in February 2006, following approximately six months of preparatory work, through the collaboration of architects and civilians interested in architecture. The foundation, and thus the activities of KÉK, are overseen by a board of trustees, led by architect Sándor Finta until 2014 and by Bálint Kádár from 2014 onwards.

KÉK was founded with the aim of initiating a dialogue about architecture, the city, and its culture between urban residents and architects, as well as integrating Hungarian contemporary architecture into the international scene, providing space for innovative, grassroots initiatives.

KÉK has launched numerous projects to improve urban life in Budapest and develop civil communities; other initiatives, such as the debate series 'Tálaló,' serve to promote community dialogue between participants in architectural developments and the public.

In 2006, KÉK began operations at Nefelejcs Street 26, Budapest VII, in the former industrial building belonging to the residence of Miksa Róth, now operating as a museum. The move-in of KÉK was largely made possible by volunteer work and donations. The three-storey building, originally functioning as a stained-glass workshop, with a floor area of 700 m², provided space for temporary exhibitions, conferences, panel discussions, and workshops. In just under two years, over ten thousand people visited the events held by KÉK at this location.