A new design method of the time delay wide area damping controller considering the coordination between inter-area mode and local mode is proposed. First, the best feedback signal and the output control signal are found out based on controllability and observability. Then, the time constant of a lead-lag compensation controller is calculated and the multi-objective optimization function is built considering coordination between inter-area mode and local mode, and the optimal gain sequence is determined by using the teaching learning based optimization (TLBO) algorithm. Finally, the order of the system is reduced using the balanced order reduction algorithm, the optimal sequence is analyzed based on linear matrix inequality (LMI) theory, and the best value with time delay robustness is selected. The simulation results of New England test system show that the multi-objective optimization based time delay wide area damping controller can damp the inter-area oscillation mode while ensure the local oscillation mode not deteriorate, and it has good robustness for time delay.