In view of the characteristics of cholera direct spreading between people and indirect diffusing between people and polluted water sources， a partial differential equation system model with diffusion term was constructed creatively， and the equilibrium point and basic regeneration number of the model were solved. Traveling wave solution is one of the key factors in epidemic model. In order to solve the existence of traveling wave solution， the construction method of upper and lower solutions is proposed. In the case that there are so many equations and parameters in the model and that the upper and lower solutions are not easy to construct， by linearizing the model at the disease-free equilibrium point， the explicit upper and lower solutions are constructed by using the construction method of upper and lower solutions， and the range of parameters in the upper solutions and lower solutions function is discussed.The emphasis is to verify that the upper and lower solutions satisfy the upper and lower solutions and boundary conditions of the model respectively.So the existence of traveling wave solutions is obtained by using the fixed point theorem.