In this paper, the homotopy method is used for stress analysis of rotating disk subjected to thermal load in marine gas turbine engine. Apply the thermal loading on the disk with exponential thickness distribution by using the homotopy method and Considering the physical and mechanical properties variations with temperature, are the most important aspects of innovation in this paper. Disc thickness variations are considered exponential and the inner and outer rims of disk are considered constant thickness. Due to the use of homotopy analysis method, important and effective parameters in this method are selected and presented. Furthermore, results are compared and validated with finite element code and good agreement of results with this method is showed. Finally, stress distribution in disks with constant, exponential and hyperbolic thickness distribution are considered and compared. The results showed the efficiency and acceptable accuracy of the method for analysis of rotating disk subjected to thermal and mechanical loading in gas turbine engine.