In geodetic practice there are many tasks for which it is not necessary to bind to initial solid points, for example, when creating geodetic control with setting out engineering constructions, when observing deformations of engineering constructions and so on. Moreover, in equalizing geodetic networks (especially large) the coefficients of conditional equations are calculated approximately, that can lead to ill conditioning or even singularity of normal system equations. In singularity of normal equation systems the equalizing task by means of least squares does not have a solution. And in improperly stipulated matrix of normal equations’ coefficients, the equalization results by means of least squares will probably have strong distortion. That’s why this article offers a new approach, based on pseudo-normal optimization method, which successfully solves the tasks mentioned above as opposed to least squares method.