The interactions of two-dimensional multichannel parallel acoustic waves with an optical light beam are studied. A set of coupled wave equations for two-dimensional multichannel acousto-optic is put forward, and its solutions are derived. The linear and nonlinear effects of the principle diffraction from each channel and intermodulation of the two-dimensional multichannel acousto-optic interaction are analyzed theoretically. A new type of two-dimensional multichannel acousto-optic modulators is made, and its characteristics are measured. The theoretical analysis is supported by the experimental results. The matrix-vector multiplication operation has performed by use of the two-dimensional multichannel Bragg acousto-optic modulator.