A hybrid semi-realistic system of the Hostynnyi Dvir historical monument digital twins was developed and computantially implemented. The system included the composition, structure and configuration determination of the dynamically affected historical monument, and its computer model verification (with its current technical state consideration); primary information preparation with applying the experimental methods and equipment for non-destructive control of the Hostynnyi Dvir historical monument civil structures (correct setting of the initial and boundary conditions); in-depth interpretation of the mathematical modeling results. The stress-strain state modeling for the “base-foundation-subway” system was performed using the MIDAS GTS NX software package, in which the FEM was implemented. The calculation model was verified based on the experimental data; the difference between the calculation results and field tests results did not exceed 15%. The calculations were performed by the direct dynamic method taking into account the actual accelerograms (initial conditions) and results of determining the actual physical and mechanical properties of the Hostynnyi Dvir historical monument civil structures (boundary conditions).