Abstract: Based on the analysis of frequency characteristics for the reduction to the pole operator and three components transformation operators for magnetic anomaly at low latitudes, we used Tikhonov regularization method to stabilize the operators discussed in this paper. Meanwhile, a noise level estimation method is proposed based on the radial average power spectrum of magnetic anomalies. Then, we used the discrepancy principle; a posterior strategy, to choose the regularization parameter. Test results based on theoretical model show that the proposed noise level estimation method has high precision. Furthermore, compared it with the conventional operators, the regularization operators for the reduction at the poles and component transformation of magnetic anomaly at low magnetic latitudes exhibited greatly improved stability and accuracy.