More and more digital supports are being developed to assist creativity. Some of them are designed to uniquely support specific creative methods, while others target the overall support of the creativity and innovation process. Whatever they might offer, only a few use a systems engineering approach. Generally, they do not formalize the environment or interactions within it. The present study proposes a new formalism for modelling the creativity process through the design of a Creative Support System (CSS). This formalism attempts to model an Innovation Challenge and is inspired by actual system engineering modelling formalisms and the literature on creativity. The first section will discuss CSS support of the “48h to Generate Ideas®” creativity challenge. Following this, the new representation formalism will be discussed. The conclusion will focus on the application of this formalism and establishment of the basis for future research.