The accurate measurements of rainfall distribution with high spatial and temporal resolution have important implications in meteorology, hydrology, agriculture, environmental policies, flood warning and weather forecasting. Based on the rain-induced power-law attenuation equation, a method is presented to reconstruct the rainfall field using rain-induced attenuation data from microwave links, and a tomographic model is formulated. Simutareous itesative reconstruction technigue (SIRT) algorithm and regularization method are employed in the tomographic model separately. The simulated result shows that the tomographic model and iterative algorithms are able to reconstruct the intensity and features of original rainfall field preferably. The distribution of rain rate with high spatial and temporal resolution is also available. Therefore, rain estimation exploiting microwave attenuation measurement data is a useful complement to traditional rain gauge and radar derived estimations.