The present invention relates to a non-coherent neighbor cell search method for primary synchronization signal (PSS) and secondary synchronization signal (SSS). In order to eliminate the channel response of the home cell, the present invention utilizes the similarity of channel responses at adjacent subcarriers, components at the kth subcarrier and the (k+1)th subcarrier of the received signal are respectively multiplied by the conjugation of the corresponding local synchronization signal to respectively obtain the kth product and the (k+1)th product. Afterward, a combination signal is obtained by examining the difference of the kth product and the (k+1)th product. By mathematical simplification and analysis, the main unknown component of the combination signal is the synchronization signal of neighbor cell, also in a compound form. Thus, the neighbor cell ID can be obtained by performing the correlation operation of the combination signal to the compound reference sequence.