This study investigated individual differences in cognitive abilities that contribute to solving insight problems. A model is proposed describing three types of cognitive ability that contribute independently to insight: convergent thinking, divergent thinking, and breaking frame. The model was tested in a large sample (N = 108) by regressing insight problem solving performance on measures of these three abilities. This analysis demonstrated that all three abilities predicted insight independently. Convergent thinking was further broken down into verbal intelligence and working memory, which also predicted insight independently of each other and of divergent thinking and breaking frame. Finally, when pitted against noninsight problem solving as a predictor in regression, only insight problem solving was uniquely associated with divergent thinking and breaking frame. The model is suggested as a potentially useful taxonomy for the study of ill-defined problems and cognitive abilities.