Social robots progressively enter children’s lives, but little is known about children’s acceptance of social robots and its antecedents. To fill this research gap, this narrative review surveyed 34 articles on child-robot interaction published between 2000 and 2017. We focused on robot, user, and interaction characteristics as potential antecedents of children’s intentional and behavioral social robot acceptance. In general, children readily accept robots. However, we found that social, adaptive robot behavior, children’s sex and age, as well as frequency of the interaction seem to affect acceptance. Additionally, we found various theoretical and methodological shortcomings in the field. The review concludes with recommendations and directions for future research on children’s acceptance of social robots.