In this paper we analyse the evolution of mycobacterium tuberculosis infection among the population, we develop a dynamic model. To gain an understanding of its dynamic characteristics a thorough analysis is conducted on the model, which incorporates the treatment of susceptible class, latently infectious, infectious people and recover classes. The TUBERCULOSIS illness was the foreign infection that caused the phenomena. We used Lyapunov function to find out Global asymptotically stability to control the infection among the population. Additionally, we determine the fundamental reproduction number, disease-free equilibrium points, and endemic equilibrium point. To analyse and conclude or model by using random values in MATLAB to simulate the result of the model.