Due to the development of technology, production and other business functions, customers have entered in the focus of enterprises’ endeavours, displacing mass-produced standardized products. Efficiency is no longer sufficient: flexibility, creativity and innovation have become vital. Creativity and innovation processes started to be studied, first at the level of individuals and then within organizations. It became obvious that creativity and innovation depend on individuals themselves and, within social units, also on their organisation. From the organisational point of view, practitioners and researchers attempt to determine the organisational variables that positively influence creativity. In this paper, the authors describe both the process and characteristics of creativity and innovation conducted by an autonomous individual as well as the same process conducted by members of a social unit. The appropriate organisation supporting the development of a creative and innovative social unit is established by management whose responsibility is to assure a rational achievement of new useful ideas and their development into products, services and processes. Therefore, the authors focus on three processes, emphasizing their relationships: individual creativity and innovation processes, organizational creativity and innovation processes, and the management of creativity and innovation.