Abstract: Multiple target Doppler ambiguity resolution is one of key processing techniques for low Pulse Repetition Frequency (PRF) radar. A new Doppler ambiguity resolution approach based on Compressive Sensing (CS) theory is presented. Making use of the characteristic of under sampling in the time domain during the Coherent Processing Interval (CPI) and the sparsity of Doppler spectrum of multiple PRF system, the CS model of Doppler ambiguity resolution is constructed and the Orthogonal Matching Pursuit (OMP) algorithm is adopted to estimate directly the response of Doppler spectrum without ambiguity. The method is validated through simulation results of resolving Doppler ambiguity in multiple target situations for grouping staggered multiple PRF radar system.