The disclosure provides a handwriting board and a control method thereof. The handwriting board includes: a touch structure configured to sense the handwriting touch position; a filter display structure comprising a photonic crystal layer and a filter driving circuit, the photonic crystal layer comprises a periodic defect structure of the surface and a photo-dielectric filled in the periodic defect structure, and the filter driving circuit is used for applying a voltage to the photonic crystal layer to drive a change in the state of the photo-dielectric in the periodic defect structure; and a controller configured to control the filter driving circuit to drive a change in the state of the photo-dielectric in the photonic crystal layer in the corresponding region according to the handwriting touch position so as to change the forbidden band of the photonic crystal layer in the corresponding region.