Abstract: A two-story parking apparatus includes: a supporting frame, an upper platform pivotally mounted by a shaft on an upper portion of the supporting frame, a tilting device operatively forwarding the upper platform to bias the upper platform about the shaft for tilting the upper platform for providing an inclined ramp adapted for a downwardly removing of an upper car from the upper platform towards a ground floor or for an upward parking of the upper car through the inclined ramp from the floor to be loaded on the upper platform, a restoring device for retracting the upper platform to be normally horizontally held on the supporting frame, and a drag device secured to a rear portion of the upper platform for simultaneously rearwardly pulling a lower platform on which a lower car is parked to prevent damage of the lower car by the inclined upper platform.