Abstract: Height anomaly, deflection of the vertical and disturbing gravity are a set of parameter used most often in geodesy and space research. After analyzing the source of the error caused in computing the parameters above, this paper demonstrates in detail the special requirements of the integration element on computing. Then the Gauss integration is used to compute gravimetric quantities. The computational results show that the new method not only provide an accuracy value and save the computational time, but also come over the singular integrations in numerical computation of the earth' gravity field in one way.