We report on a multi-dimensionally modulated optical vortex array (MMOVA). First, we propose a modified transform technique of the lattice coordinates, which possesses more modulated parameters. Then, the MMOVA is experimentally generated and the optical vortex (OV) is verified and determined by the interference method. Besides the whole structural transformation of MMOVA, the modulation of local part and even the individual OV are executed, which demonstrate the distinct capacity of MMOVA over that of the existing optical vortex array (OVA). The proposed MMOVA provides a novel scheme to generate OVAs with higher modulated dimensions, which will open up potential applications for multiple micro-particles manipulation.