Multi-frame blind deconvolution algorithm using multi-frame degraded images can get the information of clear original image and point spread functions, which was concerned by many researchers. At present, the majority of multi-frame blind deconvolution algorithms needed registration pretreatment for multi-frame images to eliminate the restored image error. Multi-frame blind deconvolution algorithm in frequency domain was proposed to process the degraded images without registration and though expanding point spread functions’ support domain. The feasibility of this method was illustrated by the properties of the Fourier transform. The digital simulation experiments were carried out to confirm the effectiveness of the proposed method.