The overall operating cost and operation of a turbine is greatly influenced by the durability of the hot section components operating at very high temperatures. Modern day turbine blades become a critical component for the designers as it receives heat and as a result produces great thermal stresses due to variation of high temperature. Thus the turbine blade metal temperature distribution and temperature gradients are the most important parameters to determine the blade life. In this paper the analysis is done by developing an analytical method to find the temperature distribution in lumped system of combined convection-radiation effect on a turbine blade.