(eng): The paper deals with Generalized Predictive Control for path control of the redundant parallel robots. It summarizes classical and square root minimization of the quadratic criterion and direct and two-step design of actuators respectively. As an example, the planar redundant parallel robot is used. Moreover, the paper presents several possibilities to use predictive algorithm for fulfillment of some additional requirements like actuator smoothing or antibacklash control and it shows practical results.