This paper is concerned with the H_∞ consensus problem for nonlinear leader-follower multi-agent systems (MASs) with a directed communication network.A polynomial fuzzy modeling approach is proposed to describe the error system which is formulated by leader and follower agents.Then,the consensus control protocols are designed for MASs to enforce all the followers to track the trajectory of a leader asymptotically.Based on the polynomial Lyapunov function method,sufficient conditions are presented to ensure the consensus for MASs subject to external disturbances.The obtained conditions are converted into sum of squares and can be numerically solved.Finally,a simulation example is provided to demonstrate the effectiveness of the derived theoretical results.