In this paper, the primary sources of AGRI stripe noise are analyzed, and an image-degradation model for this noise is established. A method of stripe-noise removal based on histogram matching and anisotropic total-variation regularization is proposed. The method first implements histogram matching to suppress the nonuniformity response between detector pixels, and then implements the anisotropic total-variation-regularization model to remove the remaining stripe noise. Qualitative and quantitative indices are used to evaluate the processing results of various methods. The evaluation results show that, compared with the existing leading stripe-removal algorithms, the proposed method achieves a superior stripe-noise-removal effect while effectively protecting the details of the original image.