A mathematical model is proposed to represent creep deformation of concrete at elevated temperatures, since most of existing models are not available to unsealed concrete exposed to elevated temperatures. After surveying existing models, a double power law is recognized as a potential model to represent the creep deformation at elevated temperatures. Accordingly moisture dependence of parameters in the double power law is discussed on the basis of published experimental data and the mathematical formulation is presented. Finally, a Published creep test result is analyzed and the applicability of the proposed model is discussed.