Fast hologram generation is the key for the study on Computer Generated Hologram (CGH).In order to accelerate the generation speed of CGH a fast scheme based on Cuda parallel computing was proposed.Firstly the objects were sampled by means of OpenGL depth buffer and objects points set was acquired.Then with the optimization of traditional look-up table algorithm storage space was reduced a short look-up table was produced offline and stored in the GPU texture memory.Finally a reasonable parallel computing program was designed to generate CGH.The experimental results showed that the algorithm was effective and feasible and the speed was increased by about forty times with the parallel computing technology.At the same time the use of OpenGL provided an idea for computer-generated interactive holograms.