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Based on the coupled-wave theory of single volume grating and matrix theory,the coupled-wave equation of stratified volume grating illuminated by femtosecond pulse is acquired.Solutions for the diffraction intensity spectrum and instantaneous diffraction intensity are obtained.The research results show that the diffraction characteristics depend on the parameters of the stratified gratings,such as the thickness of the buffer layers and grating layers,grating periods and the refractive index modulations of the grating.Through modulating these parameters,diffraction pulses with different shapes and bandwidths can be obtained.The results will be utilized to design devices employed in optical communication and pulse shaping.