A non-pneumatic wheel assembly includes a wheel, a shock absorbing member coupled to an outer periphery of the wheel and absorbing or attenuating noise and vibration due to external shock, a plurality of resilient members arranged around and coupled to an outer periphery of the shock absorbing member in a radial direction and having a plurality of resilient rings that are resiliently deformed in response to an external force, resilient links respectively coupled to the resilient rings to evenly transmit external shock to the resilient rings, rail plates to which sliders formed at both ends of the resilient links are slidably coupled, and a tire having a plurality of coupling grooves formed along an inner periphery such that the rail plates are inserted into the coupling grooves.