It is an alternative means of changing the distribution of light beam at the focusing spot and realizing optical superresolution by a pupil filter. A new type of superresolving pupil filter based on Bessel function is introduced. Two-zone, three-zone and four-zone pupil filters are discussed in detail and the superresolving figures of merits such as normalized compression ratio, Strehlratio and maximum sidelobe energy ratio are analyzed respectively. The results show that this new type of pupil filter based on Bessel function has the ability of superresolution.