Based on liquid crystal spatial light modulator and technology of computergenerated hologram, a new method of synthetic hologram display is proposed. 3D object model is generated by computer and a serial of 2D digital stereo images with parallactic information are obtained and then the correlated holograms of every 2D image are computed. The two holograms correlated with the left and right stereo image are output simultaneously to two SLMs respectively for reconstruction and the position of reconstructed images are arranged to meet the requirement of twoeye perceiving. The computer controls the holograms with different viewing angle to be transferred sequentially to implement stereoscopic display of synthetic hologram, and at the same time, the perceived stereoscopic image is sensorimotor without moving the position of viewer. In this approach, the operation is more flexible and easer to control than that in conventional synthetic holography. The experimental system is designed using liquid crystal optic engine system of rearprojector. The controlling program is also designed and the experimental result is presented.