Abstract: Digital micro mirror device(DMD) replacing the mobile mechanical template as the spatial light modulator is the new developmental direction of Hadamard transform spectroscopy. In the actual engineering design, the dispersed spectrum on Hadamard encoding mask cannot be encoded according to the S matrix perfectly, this phenomenon will bring errors to the spectral recovery. A method to correct the recovered spectral images with a series of stepping factors was proposed according to the different spatial positions of the pixels on the image. Different stepping factors were added to their corresponding encoding equations based on S-matrix. The experimental results show that the spectral images after correction are improved obviously.