The H∞ control problem for a class of switched distributed parameter system with time-delay is considered. By constructing H∞ appropriate Lyapunov functions, employing poincare and inequality matrix inequalities, the asymptotical stability’s sufficient condition of closed-loop delay system is given. Furthermore, the control state feedback controller and the switching rule are designed. Compared with the results of distributed parameter systems, the research considered the coefficient’s influence of Laplacian. The obtained result can be regarded as the extension of H∞ control for distributed parameter system. Finally, a numerical example is given to illustrate the proposed result.