This study examined the cognitive correlates of reciprocity in children with autism spectrum disorder (ASD). A total of 59 children with ASD were assessed with the Interactive Drawing Task, Theory of Mind Task Battery, Children's Card Change Sort Task, and Children's Gambling Task respectively for their reciprocity, theory of mind, cool executive function (EF), and hot EF. The correlational findings revealed that cool EF (r = 0.482 and -0.501, p < 0.01) and hot EF (r = 0.396, p < 0.05) were significantly correlated with children's total reciprocity. The regression models also showed that cool and hot EF abilities were significant predictors. Conclusively, cool and hot EF abilities are the correlates of reciprocity rather than of ToM in children with ASD.