The robotic upper limb rehabilitation device assists in rehabilitation of an upper limb of a human patient recovering from a stroke or the like. The device is an exoskeleton having an articulated shoulder assembly having five degrees of freedom, including at least two degrees of freedom simulating inner shoulder movement. An upper arm member is pivotally attached to the shoulder assembly, and a forearm assembly is pivotally attached to the upper arm member. An inflatable handgrip is pivotally attached to the forearm assembly. A robotic control unit receives signals from sensors and is configured to activate actuators attached to the exoskeleton to assist upper limb movement when required, or to permit the exoskeleton to conform to upper limb movement when no assistance is required.