The problem of the gas turbine rotor blade stress-strain state caused by creep and forced vibration is considered. In this paper, a refined finite element mathematical model describing creep processes in the rotor of a marine gas turbine engine is developed. Such mathematical model uses the specially developed finite elements, that gives us an opportunity to describe geometry of the rotor elements. On the base of such highly précised mathematical model the turbine rotor most highly loaded first impeller displacements and equivalent stresses fields were found for several most dangerous forced vibration modes. The calculated data of the first impeller equivalent stresses and durability has been compared with experimental results and numerical data for the case, that doesn’t take creep into consideration. The divergence between numerical and experimental data is less than 10%. Obtained results will be used for the next stage of studies, concerning the rotor durability and reliability problems.