Abstract: According to the transmission mechanism of tuberculosis（TB）, a SEIR model of TB infectious disease with standard incidence was established, and the stability of the model was discussed.Through constant variation method and the reduction to absurdity, the prove the positive invariant sets of the model is proved; The basic regeneration number R₀ of the model is calculated by the next generation matrix method, and it is proved that the disease-free equilibrium point D₀ is globally asymptotically stable by constructing Lyapunov function method when R₀≤1. It is proved by Hurwitz criterion that the endemic equilibrium point D* is locally asymptotically stable when R₀＞1, and based on the Li-Mulowney geometric approach to determine the global stability,we obtain the conditions for global stability of the endemic equilibrium. Finally, the validity of the results is verified by numerical simulation.