The problem of direction-of-arrival (DOA) tracking for multi-signals is researched based on simplified polarization vector-sensor array, and a novel quaternion data projection method (QDPM) is proposed. The proposed algorithm has high robustness to the undulate phenomenon arisen from the initialization, and converges faster than the conventional DPM method, especially when the DOA is changing drastically. In addition, the QDPM algorithm shows a higher tracking precision than DPM algorithm at low signal-to-noise ration (SNR). Simulation results are finally shown to verify the efficacy of the proposed algorithm.