A tendency towards the development of deeper oil and gas fields is observed presently due to depletion of onshore crude hydrocarbon reserves. During construction of such fields long anchor ropes have to be used. For long anchor ropes, their inertia and finite longitudinal elastic wave propagation velocity in ropes may have effect on both force distribution and the dynamics of anchored offshore facilities. This paper solves the problem of vertical forced oscillations of TLP with regard to wave processes in long anchor ropes using the finite integral Fourier transforms method. The mathematical model takes into account the contribution of hydrodynamic forces and internal friction in the rope material. Comparison of the results obtained with and without regard to wave processes in ropes enables the assessment of this factor influ-ence on the dynamics of offshore facilities.