The General approach to solving the key problems of polygonometry networks designing is set out. It is a priori estimating accuracy and planning precision of measuring the elements of the geodetic network. On the basis of the required accuracy of geodetic points’ position, the method of calculating the measurement accuracy and tolerances in traverse network is scientifically based. On the basis of the theory of mathematical processing the correlation between the weight and the average quadratic error of the estimated parameter the quantities for evaluation of longitudinal and transverse displacements of a point in the weakest part of a network traverse network were obtained. On the basis of the principle of equal influence and taking the measure unit weights the weight of the measurements of the sides’ lengths in the networks of polygonometry, the formulae to calculate the accuracy of measurements of angles, lengths of sides of the network and the allowed values of the residuals of the geometric conditions were obtained. The example is given for the calculation of precision measurements in the traverse moves when creating survey ground topographical surveys of scale 1 : 500.