Abstarct: Most paramount characteristics on an aquifer is its hydrodynamic parameters and various methods are used to determine these values. The most credited, common and reliable method is pumping test of the wells. However, since of lack enough experience of the test performers, low accuracy in measuring, and shortage of knowledge causes uncertainty of the results of pumping tests. This study is focused on verification of hydrodynamic parameters of alluvial aquifer of Tabriz Plain, with considering 11 pumping tests’ results. To achieve this goal, the pumping period and recovery state of pumping test are compared. The recovery state is merely reliable in estimation of transmissivity parameter (T), not storage coefficient (S), and is used as a verification parameter. The data of transmissivity of in steps of pumping test and recovery state which are gathered from Regional Water Company of East Azarbayjan, compared with the new acquired data from software of Aquifer win 32. The results show that the transmissivity values have errors from 11% to 110% which show a broad range of 2% to 9% variations. Finally, it is concluded that the relative errors of estimations using new approach by software shows lower level of uncertainty relative to the former method.