Tuberculosis is an infectious disease, which is affecting a third of the world's popula-rntion, that makes Tuberculosis a global health problem. Many countries are trying torneliminate the disease but the emergence of multi-drug resistant strain become a chal-rnlenge as it is diffcult but not impossible to treat despite being too expensive. Now arndays mathematical models for infectious disease are important in studying qualitativerndynamics of the disease at the population level which can will in gaps were experimentsrnwith the spread of infectious disease in human population are often impossible, unethicalrnor expensive. In this study we formulated a two strain tuberculosis model and discussedrnsome of the dynamical behaviour of the disease . In the model health education will berngiven to susceptible population to protect them from infection and treatment is o eredrnto infected individuals except for latently infected with drug resistant Tuberculosis. Werndivided the latent stage for drug sensitive tuberculosis as early stage , for those whornare infected latently but stayed not more than 2 years, and long stage, for those whornhave been infected latently for more than two years, to see the effect of treatment forrnearly latent stage as most of transfer to infectious class occur during the frst two years.rnWe used numerical methods to solve the ordinary diferential equation and see somernof the dynamical behaviour of the disease. Numerical simulation result shows that therninterventions can eliminate the sensitive strain, but can only reduce the drug resistantrntuberculosis. Treatment for early latent stages have a great role in eliminating the drugrnsensitive Tuberculosis.