Tuberculosis links up with HIV/AIDS at any stage of total infection period. Today HIV and TB are the leading causes of death due to infectious disease. We analyse HIV/AIDS and TB coinfection model in this paper. The HIV/AIDS and TB coinfection model is divided into two sub models like HIV sub model and TB sub model and the total population is divided into ten compartments. We investigate the basic reproduction number, disease free equilibrium point and the endemic equilibrium point of the model. The HIV only model is locally asymptotically stable in case of  disease free equilibrium when basic reproduction number is less than unity and locally asymptotically stable in case of endemic equilibrium when the basic reproduction number is greater than unity. The TB only model is locally asymptotically stable in case of disease free equilibrium when basic reproduction number is less than unity and locally asymptotically stable in case of endemic equilibrium when the basic reproduction number is greater than unity. The numerical simulations of this model show the behavior of dynamics of co-infections of HIV and TB for different values of contract rate for which we can understand the prevalence of progression of individual to AIDS stage.