Computer generated hologram of fractional Fourier transform is presented. With fast arithmetic of fractional Fourier transform and Lohmann Ⅲ detour phase coding method, fractional Fourier transform CGH in different fractional orders of one object are programmed and fabricated. These holograms are reconstructed with Lohmann Ⅰ fractional Fourier transform optical system and a clear images are obtained. The changing rule of FRTCGH and reconstructed images is analyzed as fractional orders change. The relationship between fractional Fourier transform CGH and Fresnel CGH is discussed.