Recently pictorial information processing has become increasingly important So, this paper described that feature points of fingerprint used to recognize fingerprints for identification in a government or arresting criminals in an institution like a police station related to crime. We apply an algorithm based on minimization of fuzzy theory to thinning and then the image into a certain size of squares. We have got some information about cores and deltas from the data encoding Into one of the eight directional codes. We could extract about $80\%$ feature points as the result of the experiment.