Abstract: The traditional Moving Target Detector (MTD) technology cannot suppress the clutter of wind farms with spectral broadening characteristics, which may cause the decrease of target detection probability and increase of false alarm rate. A target detection method against wind turbine clutter for linear-frequency modulation (LFM) Primary Surveillance Radar is proposed. The wind turbine clutter suppression is carried out before the the traditional MTD target detection. In this paper, the traditional spectrum center compensation is applied to suppress clutter in the LFM radar system. As far as the problem of main lobe broadening, the parameters such as radar bandwidth and sampling rate are firstly used to optimize Constant False-Alarm Rate (CFAR) Detection. Different clutter suppression methods are then used according to the distance between target and clutter. For the case that target and the extended main lobe of clutter are in different range cells, the wind farm clutter suppressed based on the spectrum center compensation. Otherwise, matching Pursuit (MP) algorithm is used to mitigate wind turbine clutter. The performance of this algorithm was quantitatively analyzed. The experimental results show that the proposed method can reduce the false alarm rate caused by clutter on the premise of the effective target detection.