A class of SEIR infectious disease model with inoculation is studed,  and obtains the threshold condition of the existence of various equilibrium points. By using Liapunove function, Lasalle invariance principle, Hurwith criterion is proved when the basic reproduction number is less than one, the disease-free equilibrium is globally asymptotically stable；when the basic reproduction number is greater than one, this model has two equilibria, the disease-free equilibrium is unstable, discriminant analysis proved the local asymptotic stability of the equilibrium point local disease by Hurwitz, further using the theory of matrix composite track stability and global asymptotic stability of the endemic equilibrium is proved. Finally, the model is simulated, and the effect of vaccination on the epidemic is analyzed, and the main conclusions are verified in this paper.