The production process of precision molds used in cylindrical microlens nanoimprint was simulated, and ultra-precision cutting technology is one of the effective means for processing precision imprinting mold. Based on the Johnson-Cook constitutive model, the finite element analysis method was applied to simulate the relationship between the cutting parameters and the cutting force during the ultra-precision cutting process, and the preferred cutting parameters were obtained. Experimental results show that the cylindrical microlens array mold can obtain good cutting effect using the preferred cutting parameters. The surface precision RMS value and the surface roughness Sq of the mold after cutting reaches 19 and 4nm, respectively.