A large divide will be formed in the output signal of correlator after rejecting narrow-band interface. The traditional anti-interference method based on the time of arrival will be locked on the side-lobes of real signals. To solve this problem, a new delay-waiting detection method based on local maximum value was presented. Under the prerequisite that the side-lobes do not superpose the spoofing signals, the method first searched the local maximum in three chips of main lobes to prevent the capture module from locking side-lobes. Then the earliest code-phase point from those local maximum was chosen to remove repeater spoofing jamming. Compare with the traditional anti-interference method based on the time of arrival, performance of the proposed method is similar in the absence of narrow-band interface, but it is significantly better in the narrow-band interface condition. The numerical simulation results validate the effectiveness of the method.