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A tuberculosis model is established with vaccination and incomplete treatment. The existence and stability of the model equilibrium point are discussed, and the threshold value R0 is obtained, which determines the disease extinction or not. By LaSalle' invariant principle and Lyapunov functions, the global stability of disease-free equilibrium and epidemic equilibrium are proved. For this TB model, it is proved that the unique disease-free equilibrium E0 is global asymptotic stability if R0 > 1; the tuberculosis model has disease-free equilibrium E* and endemic equilibrium E*, and the endemic equilibrium E* is global asymptotic stability if R0 > 1. [ABSTRACT FROM AUTHOR]