This paper is concerned with a fractional-order eco-epidemiological model with disease in predator species and prey harvesting. The nonlinear incidence rate and Monod-Haldane functional response for interactions between species are considered. The existence, uniqueness, non-negativity and boundedness of solutions are established for this fractional-order model. Some sufficient conditions are obtained to ensure the local asymptotic stability of equilibrium points. The proposed fractional-order model is very sensitive to varying the fractional-order, prey harvesting and initial conditions. Theoretical results are illustrated by using numerical simulations.