To determine the location of subsurface objects from the potential field maps, edge detection methods are used. This methods are mainly derivatives of potential field. For edge detection, several methods or filters such as analytic signal, tilt angle, total horizontal derivative of tilt angle and normalized total horizontal derivative are commenly used in geophysical interpretation. In this regard, the method of normalized anisotropy variance (NAV) for edge detection is investigated in this paper. This filter directly do not use high-order derivatives, and also, vertical derivative in calculations, thus, stability of noisy data is preserved in this method. One of the effective parameters in the calculation of this method is the optimal window number that is obtained by maximum of variation of normalized anisotropy variance and window number. In order to assess performance of the NAV-method in the edge detection of gravity anomalies, cubic models used with positive and negative density contrast and different depth, and the NAV-method and also the above-mentioned filters were applied to synthetic models and real gravity data of Safo Manganese mine. Consequently, acceptable results from applying the NAV method for edge detection of gravity anomalies were obtained.