To improve the computational efficiency of computer generated hologram (CGH) and achieve the real-time nature of CGH, a novel fast CGH algorithm of triangle mesh models is put forward. In the algorithm, the Fourier spectral information of the triangle mesh is expressed as an analytic function by using affine transform theory and a Fourier transform does not need doing for per triangle mesh of the object. This algorithm reduces the amount of computation and improves the computational efficiency. The experimental results show that the new algorithm is simple and fast, which also can obtain the reconstruction image well. It is an effective method to improve the speed of CGH.