In order to satisfy the practical requirement that multiple GNSS spoofing signals need high captured performances integrally, a power control strategy based on the cross-correlation interference of multiple signals is proposed. With an analysis on noise floor influenced by multiple spoofing power, the acquisition of spoofing signal is discussed. Utilizing the rise of noise floor and spoofing relative acquisition probabilities, a objective function is built, and the optimized solutions is obtained based on genetic algorithm. Simulations show that multiple spoofing acquisition performance is superior to the authentic according to the proposed strategy, while the noise floor rises no more than 10dBW and the spoofing power is uncorrelated.