The disclosure discloses a liquid crystal grating and a method of manufacturing the same and a display apparatus, and belongs to the field of display apparatus. The liquid crystal grating comprises a polymer network layer, which comprises liquid crystal and a polymer network allowing the liquid crystal to arrange in a preset manner by the anchoring effect. The polymer network is a polymer network formed by the polymerization of a reactive monomer and a photoinitiator. The polymer network layer may further comprise a copolymer used for entangling the polymer network and adhering the polymer network to the first transparent electrode. The liquid crystal grating may be used in naked-eye 3D display.