Abstarct: In the geophysical explorations, the potential field methods is undeniable. one of the main purposes of the interpretation of potential field data,is to determine the location and depth of the magnetic or gravity anomaly. in this thesis, the Euler method is used to estimate the depth of the gravity field anomaly. to this end, we applied this method on artificial data and with the help of the results of the gravity field data obtained by this method was applied to Humble Salt Dome. Start by taking the appropriate Euler windows, Standard Euler method was applied to the cubic model at different depths and cube structural index was determined that increases with increasing depth, then this method was applied to the model in both the cube and five cubes and it was found that increasing the number of cubes, the Structural Index does not change. then, the Standard Euler method was applied to the spherical model at different depths and so it was that the structural index spherical model with depth, does not change and the value 2 for structural index respectively. then, the Located Euler method, on the cubic model at different depths, two cubes, five cubes and spheres were applied at different depths, and similar results were obtained with the Standard Euler method. Considering the results of applying the Euler method on artificial data and considering the Humble Salt Dome spherical model, the Standard Euler method was applied to the data and the depth of the salt dome, 6.9 km was achieved. The Located Euler method was applied to the data location and depth of 4.6 km to the center of the salt dome was estimated. Comparison of the results of the Standard Euler method and Located Euler method with the results where other methods have been published in various articles, the result of applying the Located Euler method close to the results of other methods in which numerous articles are published.