With the development of spread spectrum technology, the binary offset carrier (BOC) modulation technology is utilized to improve the signal quality of the application system, reduce the signal mutual interference of the same frequency, and improve the security and anti-jamming. The key technology of side peak inhibition is studied, as the special and unique signal characteristics of correlation multi-peak and ambiguity discrimination caused by the new applied BOC modulation technology. Thus a moving correlation function acquisition algorithm is proposed, considering the limitation and deficiency of the existing acquisition methods. In the algorithm, the single peak correlation function is structured by moving correlation results to inhibit side peaks. Theoretical and simulation results demonstrate that the new algorithm can inhibit side peaks in the acquisition process, and it can adapt to lower SNR. In addition, this algorithm is better than the traditional algorithms in acquisition performance and inhibition side peak ability. The research provides the technical foundation to the efficient spread spectrum signal synchronization and system application.