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In this paper, an acquisition algorithm is proposed to solve the problem of long PN code acquisition in direct-sequence spread-speactrum (DS-SS) communications over multipath environment. The algorithm is the combination of partial correlation, cumulation and average of power spectrum density (PSD). Through partial correlation, we can get a sinusoidal signal which reflects the Doppler shift, and then by averaging the cumulative PSD, we can detect the multipath signal at lower SNR. This paper gives the multipath DS-SS signal model, and analyzes the acquisition performance of the proposed algorithm over multipath environment, and compares the acquisition effect over multipath and single-path environment by simulation.