In this paper, I examine three questions: (1) how creativity and innovation in organisations are defined in the scientific literature, (2) which theories are applied and hence which explanatory factors have been discussed, and (3) what the empirical evidence is regarding these factors. I uncover an overlap between the definitions of creativity and innovation, which in my view are distinct but related concepts. Further, despite the significant overlap in their definitions, research has evolved in two almost separate streams. Moreover, I observe that the multiple theories used (even regarding the same factor) to explain organisational creativity are not always integrated and that the empirical evidence about factors concerning individuals seems to converge but is much more mixed in relation to factors at the organisational level. Finally, I propose a new definition of organisational creativity and organisational innovation to distinguish them and suggest some avenues for future research.