The hyperbolic mild slope equation has been widely used as an effective mathematic model to simulate the propagation of water waves in coastal zones. In this paper, the grid system that collocated in time and staged in space has been used to discretize the hyperbolic mild slope equation and two examples have been used to validate the numerical model. The numerical results show that the numerical model used in the paper can be effectively used in the numerical simulation of the hyperbolic mild slope equation.