A new fast acquisition algorithm for two-dimensional direct sequence spread spectrum (2DSSS) signal which is realized on non-coding PSK modulation (PSK-2DSSS) is proposed in this paper. It can greatly reduce the redundant operations in conventional time domain correlation methods. Firstly, the received signal is compressed according to half-chip boundaries, under the control of NCO principles. Then, considering the periodic characteristic of the PRN code in the 2D spread spectrum sequence, the traditional acquisition flow is adjusted to eliminate the reduplicate multiply operations in correlation processing. As a result, the acquisition computational complexity is decreased significantly, at a cost of very slight performance degradation. Simulations confirm the correctness and effectiveness of the proposed method.