The paper analyzes the existing methods for predicting the long-term strength of high-speed diesel engines pistons, taking into account fatigue, creep and their complex effect. It is shown that the material creep process is significantly affected by the duration of the material loading cycle in real piston structures. It is noted that at an arbitrary time the material creep rate also depends on the previously accumulated creep deformation. The material loading parameters will change from cycle to cycle. It has been substantiated that the prediction of the long-term and heat-fatigue strength of the forced high-speed diesel engines pistons should be carried out taking into account the complex effect of fatigue and creep on the damage accumulation process. A method has been developed for estimating the long-term and thermal fatigue strength of the piston, taking into account the noted complex effect of these processes. The analysis is carried out the loading history influence of a high-speed diesel piston on the combustion chamber edge durability. A technique has been developed that makes it possible to predict the time to destruction of the of the combustion chamber edge at the initial stages of engine design, taking into account the model of its operation.