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Coupling-induced logical stochastic resonance (LSR) can be observed in a noise-driven coupled bistable system where the behaviors of system can be interpreted consistently as a specific logic gate in an appropriate noise level.Here constant coupling is extended to time-varying coupling,and then we investigate the effect of time-varying coupling on LSR in a periodically driven coupled bistable system.When coupling intensity oscillates periodically with the same frequency with periodic force or relatively high frequency,the system successfully yields the desired logic output.When coupling intensity oscillates irregularly with phase disturbance,large phase disturbance reduces the area of optimal parameter region of coupling intensity and response speed of logic devices.Although the system behaves as a desired logic gate when the frequency of time-periodic coupling intensity is precisely equal to that of periodic force,the desired logic gate is not robust against tiny frequency difference and phase disturbance.Therefore,periodic coupling intensity with high frequency ratio is an optimal option to obtain a reliable and robust logic operation.