Laguerre-Gaussian (LG) mode is the eigen-state of the orbital angular momentum of photon. It has potential applications in the fields of optical tweezer, quantum information process and computation. Two kinds of recording mediumsholographic plate and ink-jet transparent film are used to manufacture the holographic grating. Laguerre-Gaussian (LG) modes with topological indices from the first order to high order have been observed in the experiment. It is also noticed the high order modes are spatial unstable. Furthermore, the related controlling parameters, such as the exposure time and intensity which influence the diffraction efficiency, are discussed in detail.