In this paper, the coordination control problem for a class of partial differential multi-agent systems is studied, and each agent in this kind of systems is constructed by the fourth order parabolic partial differential equation. According to the characteristics of the system, the distributed feedback control law is obtained by constructing a Lyapunov functional on an appropriate space. When the feedback control law is used to the system, the coordination error of the state variable converges to zero on ${L^2}{\rm{(0,}}1{\rm{)}}$ space. Finally, a simulation example is given to show the effectiveness of the proposed method.