The organizational structure of the Projeto Lygia Pape cultural association was set up by the artist herself during her lifetime. It was founded on 22 June 2004.

By way of Paula Pape and her rights as defined by a formal contract with the artist herself, the Projeto Lygia Pape is the sole, rightful administrator of the Cultural Assets, which include control of copyrights on works and images, as well as authorization for the use of biographical data and other considerations, on a worldwide basis.

The association's aims are to catalog, organize and conserve the collection of the artist and the artist's image while promoting public awareness concerning the artist's life and work, by way of exhibitions, books, catalogs, films, lectures, interviews, and other means. It has the exclusive right to issue certificates of authenticity for artworks and to verify the authenticity of documents regarding the artist Lygia Pape.

Since it is a not-for-profit entity, it is open to contributions, donations and collaborations of any type on the part of private or public entities or individuals, with the aim of developing and strengthening its activities.