In this paper, we propose the new fast calculation method of computer generated cylindrical hologram and report experimental results of three-dimensional image reconstruction. Conventionally, it takes a huge amout of time to compute cylindrical hologram data, because it is based on a point-light object method. On the contrary, the proposed method is based on the angular spectrum of plane wave and Fast Fourier Transform (FFT) algorithm. By using the method, computation time of the holgram data becomes 500 times faster than conventional methods. We made holograms by this proposed method and performed optical image-reconstruction experiments. The results of optical experiments make clear that the hologram has the full-parallax three-dimensional image that has "look around property".