The nonlinear holography technique is a powerful tool for all-optical switching and manipulation of an arbitrary harmonic wave. The common method of realizing such nonlinear holography is by configuring the structure of nonlinear photonic crystals. However, it is a challenge to dynamically tune the harmonic wave pattern. To overcome the long-term existing non-dynamic property of such nonlinear holographs, we realize dynamic computer-generated nonlinear optical holograms in the non-collinear second harmonic (SH) generation process in which only one infrared beam is modulated. Arbitrary patterns in both fundamental-frequency and second-harmonic wavebands can be generated at the same time. This Letter offers a flexible and dynamic method for arbitrary nonlinear wavefront shaping technology.