The applications of robotics in recent years have emerged beyond the field of manufacturing or industrial robots itself. Robotic applications are now widely used in medical, transport, underwater, entertainment and military sectors. In the medical field, these applications should be emphasised in view of the increasing challenges owing to the variety of findings in the field of medicine, which requires new inventions to ease work process. The objective of this review paper is to study and present the past and on-going research in medical robotics with emphasis on rehabilitation (assistive care) and surgery robotics which are certainly the two main practical fields where robot applications are commonly used presently. The study found that rehabilitation and surgery robotics applications grow extensively with the finding of new invention, as well as research that is being undertaken and to be undertaken.