In many developing nations, tuberculosis (TB) is an important threat to public health. Mycobacterium tuberculosis is a major cause of disease and death in world wide. Even though it can be cured, lack of treatment often leaves tuberculosis infection untreated, leading to the bacteria becoming resistant to antibiotics. In this work, a model to describe the dynamics of drug-resistant infections caused by tuberculosis was developed. The next generation matrix approach was utilized to calculate the model's basic reproduction number. After obtaining the endemic and disease-free equilibriums, their stability analyses were performed. They were asymptotically locally stable and is increased contact rate may decrease or eradicate the sensitive strain of tuberculosis and lower drug resistance. Using random values in MATLAB to simulate the result of the TB model.