This chapter summarizes the findings of a study on robotics research and application for assisting children with disabilities between the years 2009 and 2013. The said disabilities include impairment of motor skills, locomotion, and social interaction that is commonly attributed to children suffering from Autistic Spectrum Disorders (ASD) and Cerebral Palsy (CP). As opposed to assistive technologies for disabilities that largely account for restoration of physical capabilities, disabled children also require dedicated rehabilitation for social interaction and mental health. As such, the breadth of this study covers existing efforts in rehabilitation of both physical and socio-psychological domains, which involve Human-Robot Interaction. Overviewed topics include assisted locomotion training, passive stretching and active movement rehabilitation, upper-extremity motor function, social interactivity, therapist-mediators, active play encouragement, as well as several life-long assistive robotics in current use. This chapter concludes by drawing attention to ethical and adoption issues that may obstruct the field's effectiveness.