Abstract: A computed model of this title is presented. The non-linear finite element method for analysis of elastic-plastic-creep problem is used to calculate the stress strain response of critical region point of component undergoing external alternating load with period hold loading histories and high temperature. By using the strain range partitioning method the degree of damage is cumulated and the fatigue life is calculated. For better explanation, an example is introduced. The title of a rectangular thin plate with a small hole is completed and from comparison, the results between them are reasonably good. So that, it can be used for engineering purpose.