Abstract: For the wide-area interconnected power system, considering there exist transmission delays in multiple loops, a power system model with multiple time delays is established. Then a Lyapunov-Krasovskii functional with higher accuracy is constructed,using the integral inequality of auxiliary function to define the integral term in the functional derivative, the stability criterion of the system with multiple time delays is derived. The newly constructed functional and integral inequality of auxiliary function introduce more boundary information for the system with multiple time delays, and obtain more free solution space, the error caused by the integral definition process is reduced. Finally, by using the linear matrix inequality toolbox in MATLAB software, the stability of typical second-order time-delay system, single-machine infinite bus system and WSCC three-machine nine-node system are simulated and computed by multiple stability criteria. The simulation results show that the stability criterion proposed in this paper can produce more tighter time delay bounds than those in the existing literatures, several delay stability intervals of the system are also revealed, and can more accurately reflect the stability of power system with multiple time delays.