This thesis presents a different coordinate basis establishment by two GNSS methods in the procedure of a new point position stake-out. The coordinate basis establishment is performed first using fast static and second RTK-GPS surveying method. We show fast static GNSS surveying method is superior to RTK-GPS surveying method, which is often used in practice. The difference between the two methods is represented in concrete practical examples, performed in the fieldwork. The thesis also includes the derivation to determine the accuracy of a stake-out point position using the propagation law of variances and covariances as well as using the propagation law of true errors.