Building of modern cargo ships is characterized by nonstandard structural details design, the application of high tensile steels and the construction optimization by reliable determination of load carrying capability. Such shipbuilding characteristics are often accompanied by increased risks of fatigue damage. Fatigue of structural details in ship constructions is recognized as an important problem and has become a subject of intensive scientific research. A short review of the methods for fatigue analysis of ship constructions is presented in this thesis. The emphasis is on the spectral fatigue analysis method, which is a sophisticated fatigue strength evaluation method. All four steps of the spectral analysis method are presented. Global and local finite element models were generated and stress transfer functions for a typical structural detail of a double hull tanker were determined. Special attention is paid to hot-spot stresses evaluation procedure. On the basis of known stress transfer functions, a long-term stress range distribution was evaluated and then fatigue damage was calculated. The obtained results were compared with the results of simplified fatigue damage calculation and the published results.