Abstract: In order to analyze the scaling law and extended self-similarity in detail, temporally evolving supersonic turbulent channel flows (reference Mach number at 4.05 and wall temperature at 1 300 K based on the wall parameters) were simulated using direct numerical simulation (DNS) approach. The gas models include calorically perfect gas, thermally perfect gas and chemically reacting gas in non-equilibrium ('chemically reacting gas' for short). The two later kinds of models are called by a joint name as the real gas models. It is found that the scaling law and extended self-similarity not only exist in calorically perfect gas, but also in real gas models. The Favre parameters are suitable to obtain velocity structure function because of the compressibility influence. The deviations between chemically reacting gas and calorically perfect gas provide better agreement than that between thermally perfect gas and calorically perfect gas.