A robust affine formation control algorithm with prescribed performance is proposed for multi-agent systems with unknown external disturbances.In the directional graph, the follower distance error dynamics model is given by using the Laplace matrix of symbols according to the leaders state.Then, by using the input to state stability and Lyapunov stability theorem, the convergence and stability of the proposed control algorithm are proved, the external disturbances are restrained, and it is guaranteed that the error state of the system converges to the prescribed performance function, which ensures fine transient behavior of the system.Finally, the simulation results show that the follower can follow the leader under external interferences, and the validity of the proposed algorithm is verified.