Abstract: The design method of gravity network on the basis of the principle of the lineaprogramming and the sequential optimization is given.The constraint of the linear programmirg is(A^T⊙A^T) P≥N'₀.The coefficient,matrix of normal equation which is comr puted strictly is used as the standard of controlling accuracy.Since the linear programming includes all practical and feasible observation lines,so the result is feasible.After the computation by using the simplex method the observation lines of which the weights are zero are eliminated and all observation lines with the practical weights are taken as the basis of the sequential optimization.In the course of the sequential optimization two equations(maxQ_ii=min.tr Q· C_i=min) are used as the standard of comparison in order to improve the homogeneity of the accuracy of the network.The new gravity basic national network has been designed on the basis of the method designed above.The questions about the accuracy of gravity network,absolute gravity stations,the gravity base line and so on have been discussed.