Focusing on the problem that the traditional acquisition schemes of Binary Offset Carrier (BOC) modulated signals have poor acquisition performance or large amount of calculation, a new compromise algorithm is presented in this paper. Through analysis of spectrum characteristics, reversal and superposition of the upper and lower sideband spectrum of BOC signal, an ideal acquisition performance is obtained with a low computation load. The simulation results show that the proposed algorithm is applicable for acquisition of BOC signals modulated by different modulation factors.