The screen of solid-state volumetric three-dimensional (3D) display system is based on a polymer stabilized cholesteric texture normal-mode （PSCT） shutter array structure. The nonlinear variation of haze and transmittance of the shutter causes the image luminance deviation, as well as the image crosstalk between adjacent shutters. The photoelectric response characteristic and driving method of the PSCT shutter array are analyzed. Based on the analysis, the image luminance variation function of shutter array is derived, and thus the luminance of sub-frames and grayscale deviations are calculated. Grayscale correction is implemented through adjusting the driving timing of shutters and reallocating sub-frames, combined with Gamma correction. 3D images before and after grayscale correction are displayed on the solid-state 3D volumetric display system. Experimental results indicate that the proposed method can correct the grayscale deviations efficiently and eliminate the image crosstalk between adjacent shutters mainly at the cost of a minor luminance loss （about 6%）. The proposed approach can improve the 3D image quality to some extent.