Considering the wavefront aberration and speckle noise in laser active imaging, the influence of speckle noise on wavefront correction based on image metric optimization is discussed. The effect of speckle noise on wavefront correction is researched by simulating the trends of image sharpness value with the root-mean-square (RMS) value of wavefront under different speckle noise level. Based on that, conclusions are verified by the numerical simulation of atmospheric turbulence wavefront close-loop correction. The results show that, with the increase of speckle noise, the monotonicity and linearity between image sharpness metric and the wavefront RMS value are significantly worse, especially while the RMS value is less than 1 rad, so that the convergence speed and the final accuracy are deteriorated. Moreover, when the speckle noise is large, with the increase of wavefront distortion, the effect of speckle noise on the correction performance is much more remarkable.