Abstract: A system of delayed functional differential equations was proposed as a predator⁃prey model with diseasein the predator. The invariance of non⁃negativity, nature of boundary equilibria and the positive equilibrium were analyzed. It was showed that the disease⁃free and the positive equilibrium are locally asymptotically stable when time delay τ is suitable small, while a loss of stability by a Hopf bifurcation can occur as the delays increase.