This project examines the dynamics of HIV/AIDS with treatment and vertical transmission. A non-linear mathematical model for the problem is proposed and analyzed qualitatively using the stability theory of differential equations. Stability of the disease free equilibrium of the model was established by the next generation method. The results show that if the basic reproduction number <1, the disease free equilibrium is always stable and in such a case the endemic equilibrium does not exist. If >1, a unique equilibrium exists and stable for the disease becomes endemic due to vertical transmission. However, it is shown that using ARV treatment measures and control of the rate of vertical transmissions have the effect in reducing the transmission of the disease Signifficantly