Based on the general thermodynamic theory,a mathematical model for thermodynamic parameters of hot-shot steam is derived,it includes the formula of specific enthalpy,specific volume,specific heat at constant pressure and specific entropy.The specific enthalpy formula of steam with a pressure range from 0 MPa to 90 MPa and the specific volume formula of steam with a pressure range from 0 MPa to 40 MPa within permission error of the International Steam Skeleton Tables in 1985,and that all the model with a temperature range from 273.15 K to 1 073.15 K.The model is applied to real-time simulation for supercritical fossil power unit and convenience in application of engineering.