Abstract: In order to reduce the first positioning time of Binary Offset Carrier (BOC) modulation signals during cold start, a multi-satellite signal joint acquisition algorithm was proposed based on composite pseudocode to realize the simultaneous acquisition of multiple satellite signals. Firstly, the pseudo-codes corresponding to different satellite signals were added together to generate the composite pseudo-codes. And then the received signals and the composite pseudo-codes were processed with the circle correlation to obtain the maximum correlation value. Finally the maximum correlation value was processed based on Teager-Kaiser to reduce the impact of noise. The simulation results show the advantages of this method, including the reduction of the acquisition time and the calculation amount. Under the same false alarm condition, the TK algorithm applied in this algorithm can improve the detection probability. Compared with the detection probability of direct correlation method, the maximum detection probability of this method can increase about 5 dB.