Abstarct: The Curie depth is the depth at which rocks reach their Curie temperature and lose their magnetization. Assessment of Curie point depth (CPD) variation in an area can provide valuable information about the regional temperature distribution in the depth and potential of geothermal energy at subsurface. The methods used to estimate CPD in different parts of the world, mostly consider the crustal rocks magnetization as a random function of the position (x, y) while the crustal rocks magnetization shows a fractal behavior. Hence, it is attempted by introducing new methods to determine CPD more accurately than the existing methods; specifying the fractal behavior of crustal rocks magnetization. To achieve the goal, the optimum block size of aeromagnetic data of the Ardebil province was determined by developing a computer code to determine its power spectra. Then, by introducing a new two-dimensional continuous wavelet for the first time, the depth to top of the magnetic anomalies of each block was calculated. Moreover, the fractal parameter within each block was estimated by applying a developed linear inversion technique. Eventually, having the depth to top of the magnetic anomalies and fractal parameter, the thickness of magnetic anomalies was determined by developing a computer code baxsed on the nonlinear inversion algorithm. The results show that, the depth to top of the magnetic anomalies varies between 3.5 and 6.0 km, fractal parameter ranges from 4.6 to 5.7, the thickness of the magnetic sources was calculated from 7.5 to 17.4 km and CPD of the study area was determined between 13 and 21.5 km. The areas around Mount Sabalan especially west and south west of Sabalan are introduced as the great potential of geothermal energy baxsed on the CPD, thermal gradient and heat flow maps. Besides, validation of the results with those obtained from the modeling of magnetotelluric (MT) data and those obtained from drilling, in particular temperature and considering the location of hot springs, confirm well the results of this study.