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This paper researches observer-based H_∞ synchronization of coronary artery system with input, output time-delays, and external disturbance. By designing chaotic observers for both the master system and slave system, the estimation of the states for master-slave systems has been accomplished. Based on the free-matrix-based integral inequality and Wirtinger-based inequality, the Lyapunov Krasovskii functional (LKF) is constructed to obtain a less conservative synchronization strategy for the chaotic coronary artery system with the existence of state estimation errors and synchronization error. The effectiveness of this control strategy has been demonstrated by some simulations.