An eco-epidemiological model with disease in the predator and stage-structure for the prey is analyzed. The Holling type-II functional response and a time delay due to the gestation of the predator are considered in this model. By analyzing the corresponding characteristic equations, the local stability of the trivial equilibrium, the predator-extinction equilibrium, the disease free equilibrium and the positive equilibrium are discussed, respectively. The existence of Hopf bifurcations at the positive equilibrium is established. By using Lyapunov functionals and LaSalle's invariance principle, sufficient conditions are obtained for the global stability of the trivial equilibrium, the predator-extinction equilibrium, the disease free equilibrium and the positive equilibrium, respectively.