P>The Poisson theorem provides a simple relationship between the gravity and magnetic potentials, which is useful in interpreting joint data sets of gravity and magnetic data. Based on the simple Poisson theorem, magnetization/density ratio (MDR) can be estimated. However, potential field data is often ambiguous in datum level and multisources interference that may cause bias in interpretation. Here, we propose an improved Poisson theorem to estimate MDR by using analytic signals of gravity and magnetic data. The major advantage of using the analytic signal is that we can also determine the sources locations and boundaries supposing that we know the ambient magnetic parameters. Besides, we can also avoid the determination error from uncertain datum levels. We demonstrate the feasibility of the proposed method in 2-D and 3-D synthetic models. The proposed method is also applied to a profile across the offshore area of northern Taiwan. Comparing with the reflection seismic profile, our result can help identify the existence of a deep-seated igneous body beneath the area of Mienhuayu and Pengchiagu islands off northern Taiwan.