We propose a novel and accurate technique based on edge map for the determination of core points in fingerprint images. An edge map is obtained by detecting the edges on a smoothed orientation map. An edge pixel deletion operation is then performed on the edge map based on gradient information. Last, upper and lower core points can be extracted by analyzing the orientation consistency of a few edge pixels. Experimental results show that the proposed method can effectively detect the core points with high speed for all types of fingerprints.