Contemporary creativity research views intelligence and creativity as essentially unrelated abilities, and many studies have found only modest correlations between them. The present research, based on improved approaches to creativity assessment and latent variable modeling, proposes that fluid and executive cognition is in fact central to creative thought. In Study 1, the substantial effect of fluid intelligence (Gf) on creativity was mediated by executive switching, the number of times people switched idea categories during the divergent thinking tasks. In Study 2, half the sample was given an effective strategy for an unusual uses task. The strategy condition interacted with Gf: people high in Gf did better when given the strategy, consistent with their higher ability to maintain access to it and use it despite interference. Taken together, the findings suggest that divergent thinking is more convergent than modern creativity theories presume. (Contains 2 tables and 2 figures.)