A lasso-driven flexible upper-limb-rehabilitation robot comprises a chair, shoulder joint anteflexion/downswing drive connecting devices, shoulder joint abduction/downswing drive connecting devices, elbow joint flexion drive connecting devices, elbow joint stretching drive connecting devices, shoulder joint anteflexion drive units, shoulder joint abduction drive units, elbow joint flexion drive units and elbow joint stretching drive units, wherein the shoulder joint anteflexion/downswing drive connecting devices are connected to the front back plate of the chair and the front sides of the upper arms of a human body, the shoulder joint abduction/downswing drive connecting devices are connected to the front back plate of the chair and on the lateral sides of the upper arms, the elbow joint flexion drive connecting devices are connected to the front sides of the upper arms and the front sides of the forearms, the elbow joint stretching drive connecting devices are connected to the back sides of the upper arms and the back sides of the forearms, the shoulder joint anteflexion drive units are connected with the shoulder joint anteflexion/downswing drive connecting devices, the shoulder joint abduction drive units are connected with the shoulder joint abduction/downswing drive connecting devices, the elbow joint flexion drive units are connected with the elbow joint flexion drive connecting devices, and the elbow joint stretching drive units are connected with the elbow joint stretching drive connecting devices. The lasso-driven flexible upper-limb-rehabilitation robot has the advantages that three-freedom-degree rehabilitation exercises including shoulder joint anteflexion and abduction and elbow joint flexion/stretching, and separated single joint exercises can be achieved while synergic exercises shoulder and elbow joints can be achieved.