The world resurgence of the Tuberculosis has outlined the necessity to improve strategies for controlling the incidence. Recently, it has become clear that, in order to develop a more efficient vaccine, a better understanding of the relation between the immune response of the host and the tubercle bacillus is needed. Innate response of macrophages against Tuberculosis plays a fundamental role in the outcome of Mycobacterium tuberculosis infection. We formulate and analyze a model to describe the dynamics of innate immunology of macrophages against Mycobacterium tuberculosis. The dynamics of the model is given in terms of the basic reproductive number R0, a threshold that has been used largely in understanding the persistence of viral or bacterial infection within individuals. Analysis of the model reveals the existence of two equilibrium states, the infection-free state and an endemically infected state.