A novel lenticular screen of double-sided grating applied in low-crosstalk naked-eye 3D display is designed. Linear concave free-form gratings, with their number of grating lines equal to the number of horizontal sub-pixel on the screen display panel, are fabricated into the incident surface of the lenticular screen, and convex free-form slanted gratings are fabricated into the opposite surface. Design formulas for grating free-form surface and grating parameters are deduced based on the principles of naked-eye 3D display and geometrical optics. The grating parameters are calculated using MATLAB and grating model is established by modeling software Solidworks. The results show that the image crosstalk in 6-view naked-eye 3D displays, using double-sided lenticular screen, is 0.068% at the best viewing angle by selecting optimal parameters, which is lower than a conventional one by 2 orders of magnitude. The image crosstalk remains basically unchanged within the range of the viewing distance of 2 000 mm~3 000 mm.