A target signal phase self-correction method was proposed for Doppler asymmetric spatial heterodyne technique. First by sampling the interferogram frames of monochromatic light under different wind speed continuously, the phase drift was recorded. Then by fitting the phase curves at different speed and calculating the distance between two fitting lines, the phase drift was eliminated. The wind detection system was established in the laboratory to obtain the sampling interferogram and correct the phase error. The result shows that the error is up to 30.78 m/s at the wind speed of 60.37 m/s, and there is a great improvement after phase drift correction with a speed error of 3.51 m/s. Several groups of experiment under different wind speed were conducted and the wind speed was retrieved with a precision of 2.97 m/s finally.