An apparatus for displaying a holographic three-dimensional (3D) image is provided. The apparatus includes: a holographic pattern generation unit; a spatial optical modulation device including a phase transition layer formed of a phase transition material, a phase of which is changed by a temperature. A holographic pattern generated by the holographic pattern generation unit is optically addressed on the spatial optical modulation device. The apparatus also includes a heat source for applying heat to the phase transition layer; a control unit for controlling the heat source according to holographic pattern information generated by the holographic pattern generation unit; and a reproduction light source for irradiating light for image reproduction onto the spatial optical modulation device.