We have theoretically investigated the time delay of a chirped light pulse, defined as the temporal difference of for an interferometer of known parameters, the chirp of the light pulse makes the time delay become intensively smaller. The mismatch between the central frequency of the light pulse and the resonance frequency of the interferometer also has an influence on the time delay. Under some circumstances, this mismatch will induce a time delay smaller than t0 that is defined as the one-way traverse time of the light inside the interferometer.