This brief is concerned with the problem of zonotopic set-membership state estimation for 2-D Roesser systems subjected to unknown-but-bounded disturbance. First, a general guaranteed state estimation algorithm is designed to obtain a set of zonotopes containing the system states that are consistent with the model parameters and the measurement outputs. Then, based on the constructed ${P}$ -radius functions, an optimal correction matrix design criterion with ${L}_{\infty }$ performance is provided for the obtained zonotope. Furthermore, an offline optimization problem is constructed to obtain the optimal correction matrix. Finally, a numerical example is provided to certify the effectiveness of the proposed approach.