Abstract: According to the transmission mechanism of Hepatitis C, an epidemic model with latency delay is formulated. The control reproduction number is calculated, and the existence of the disease-free equilibrium and endemic equilibrium are discussed. When the delay is zero, the stability of the equilibria are given by the Routh-Hurwitz criterion. Furthermore, when the delay is greater than zero, the global asymptotic stability of the disease-free equilibrium is proved by the Lyapunov-LaSalle invariant principle. Then, the stability of the endemic equilibrium and the existence of Hopf bifurcation are obtained. Finally, the strategy of disease control is given through sensitivity analysis. The results show that improving the quality of medical services and disease screening rates can effectively control the spread of Hepatitis C.