This letter presents design and analysis of two new foldable mechanisms without parasitic motion. These two PUequivalent mechanisms have no parallel singularities in the feasible workspace excluding the boundary together with the simple or unique closed-form forward kinematic solutions. Kinematic performances are evaluated with respect to motion/force transmission property. Both of them were applied to flat panel TV mounting due to their excellent dynamic force transmission characteristics. A commercially available multibody dynamic simulator was employed to verify the simulation result of the actuator force. Finally, two prototypes are designed through 3-D printer to verify the motion property.