Abstract: A kind of vector-host epidemic model with hybridzing incidence is investigated.It is shown that the stability of the equilibria in this model is completely controlled by the basic reproduction number R0.If R0 is less than or equals to one,the disease-free equilibrium is globally asymptotically stable and in such a case the endemic equilibrium does not exist.If R0 is greater than one,then the disease persists and the unique endemic equilibrium is globally asymptotically stable.