The paper presents an innovative architecture of a parallel robot designed for lower limb rehabilitation of post-stroke patients. The work presented in this paper addresses the challenges presented in numerous reports, like in the Multi-Annual Roadmap, ICT 24-28 concerning the need for rehabilitation and assistive devices with the ageing of population, especially in Europe. The robot has a simple design and it is intended to be used especially for bed-ridden patients, even since the acute phase of the stroke, to accelerate the rehabilitation process. A complete kinematic analysis has been performed using the Study parameters of SE(3), and numerical simulations have been presented.