An SIRS epidemic model with two time delays in healing period and immune expiration period is researched. The threshold conditions which determines the epidemic termination were found out

the free-equilibriumand endemic equilibrium were calculated，and the global stability of free-equilibrium was proved. Using the methodof rebuttal evidence and the comparison principle of differential equations，the uniform persistence of disease isproved. Immune expiration period and the recover period for the influence of epidemic model by numerical simula-tion were analyzed at last.