In order to eliminate the impact of oversample-cumulating method on clarity of linear push-broom imaging,with the transition of aperture function,a deblurring method was put forward to cumulate the pixel in the same sample position,thus the aperture function in push-broom direction was equal to the linear direction,and the impact of pixel shift in cumulating was eliminated. With the sample-cumulating rates of 4,at Nyquist frequency the value of pixel transfer function was increased by 7%. Through simulating oversample-cumulating test,the results show that the deblurring algorithm can be achieved. This simple algorithm only needs a small number of adders,with slightly modified FPGA codes,then the camera can be put to use.