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The initial cell search plays an im-portant role during the process of downlink synchronization establishment between the User Equipment(UE)and the base station.In particular,the uncertainty of the synchroni-zation signals on the frequency domain and the flexibility of frame structure configuration have brought great challenges to the initial cell search for the fifth-generation(5G)new radio(NR).To solve this problem,firstly,we ana-lyze the physical layer frame structure of 5G NR systems.Then,by focusing on the knowl-edge of synchronization signals,the 5G NR cell search process is designed,and the prima-ry synchronization signal(PSS)timing syn-chronization algorithm is proposed,including a 5G-based coarse synchronization algorithm and conjugate symmetry-based fine synchroni-zation algorithm.Finally,the performance of the proposed cell search algorithm in 5G NR systems is verified through the combination of Digital Signal Processing(DSP)and personal computer(PC).And the MATLAB simulation proves that the proposed algorithm has better performance than the conventional cross-cor-relation algorithm when a certain frequency offset exists.