Roller quench is a rapid cooling technique used in strip continuous heat-treatment process, which is one of the most important processes in producing cold-rolled strip steel. Heat transports by contact heat transfer in roller quench, for the complex characteristics of contact heat transfer, roller quench is very difficulty to simulate. In this paper a roller quench heat transfer model is build based on Fourier-Kirchhoff differential equations. A new correlation function of contact conductance is developed from statistical mechanics model results by least square method. This correlation function solves the heat transfer boundary condition in contact region between strip and roller. In this model the contact radiation is also considered. The roller quench model predicts the heat transfer characteristics of roller quench. The model is useful for the designing and controlling of the roller quench system.