The flow around the turret causes serious aero-optical effects, consequently limiting the effective performance of airborne laser weapons. Therefore, researching the suppression of aero-optical effects of a turret has become a real urgency. In this paper, high-precision numerical simulation methods are used, and wind-tunnel verification experiments are conducted, to provide high-confidence time-series wavefront data. On this basis, the curve and scatter plot of correction residual variation with correction order in the airspace are developed for quantitative evaluation of adaptive optics correction. The results show that complex structures, such as shedding vortex streets, are observed in the flow field around the turret, and shock waves also appear when the Mach number is large. The aero-optical effect of the top view is the strongest, while the steady-state aberration of the front view accounts for a large share of the whole. Moreover, the dynamic aberrations of the top view and the rear view assume large proportions, and shock waves further increase the dynamic aberration ratios of the wavefront. The front view can achieve a satisfactory adaptive optics correction effect, while the correction of the top view is difficult as it requires a high wavefront fitting ability of the deformation mirror for adaptive optics correction. Therefore, joint suppression methods, such as combining adaptive optics correction and flow control, are recommended to suppress aero-optical effects of a turret.