An accurate prediction for the thermal crown of the continuously variable crown (CVC) work roll is a key to improve the accuracy of the computer on-line control model. In this paper, the authors have developed a finite difference model to simulate the thermal deformation of the CVC work rolls in hot strip rolling. The effects of the heat generation produced by the strip deformation and friction, heat conduction and convection on the thermal crown are introduced in the simulation. A comparison of the calculating roll temperature and measured values shows that they are in good agreement. Result shows that a model of calculating the thermal crown of the CVC rolls can be obtained based on the finite difference method. The modelling of the thermal crown of CVC rolls in hot strip rolling can improve the accuracy of on-line control model.