This paper investigates a distributed adaptive fuzzy tracking control problem for multi-agent systems with heterogeneous nonlinear dynamics and additive measurement noises under directed communication topology.Fuzzy logic systems(FLS)are introduced to approximate the unknown nonlinear dynamics.In the meanwhile,some stochastic tools are used to deal with additive stochastic noises.Under the premise of having a directed spanning tree with the leader as the root node,the distributed adaptive fuzzy control law with time-varying and different for each agent control gains and the adaptive update laws of parameters in FLS are designed.The leader-following consensus in the sense of mean square is proved.Finally,the effectiveness of the proposed method has been shown in the illustrative examples.