The authors present the outcome of a simulation experiment on elimination of systematic errors in the state levelling network using potential technology of chronometric levelling. Its results consider two algorithms. In the initial instance, the geopotential numbers of geodetic points, as derived from the chronometric levelling, are incorporated into estimation of the parameters. In the subsequent one, these numbers are regarded as supplementary measurements of the system of linear equations during the optimization of the levelling network. The experiments were conducted on the levelling network of the RF and the Republic of Kazakhstan fundamental points heights catalogue model, class I (2120 points). The modelling program enables manipulating three variables: the quantity of geometric and chronometric levelling stations, the values of modelled errors, and the resolution of the regular grid of the height system’s error model. During the experiment it was indicated that the optimal solution is characterized by the second algorithm, which incorporates chronometric levelling in the form of additional restrictions. We determined that chronometric levelling can be utilised to reduce the accumulated uncertainty of normal height transfer from initial point by three times. Concurrently, the mean error can be mitigated to 1 cm, concomitant with the requisite precision of chronometric measurements. In order to reduce the systematic errors of BSV-77, it is sufficient to make observations at 30 stations using perspective mobile frequency standards with a relative instability of 10^(–18)