Abstract: The dynamics of a two-strain model with superinfection and Logistic growth is formulated. Firstly, the nonnegativity and boundedness of the solution of the model is presented; Secondly, the existence and local stability of the equilibria are discussed; Finally, by constructing Lyapunov function and LaSalle invariant principle, the global stability of such equilibria is obtained. Numerical simulations are carried out to validate the theoretical results.