1. A method for producing an antiglare sheet comprising a step of providing an antiglare layer on at least one side of a transparent base material, wherein the antiglare layer comprises a translucent resin and diffusion particles, the antiglare layer has irregularities on the side opposite the transparent base material, the irregularities are formed primarily by raised sections based on the diffusion particles, the diffusion particles have an impregnation layer formed from the impregnation of the translucent resin into the diffusion particles, and the diffusion particles are dispersed in the translucent resin, wherein control is effected so that the antiglare sheet satisfies the following inequalities (8) and (9) to improve blackness in dark surroundings, to improve vivid complexion and blackness, and to prevent an increase of reflection thereby preventing the generation of stray light, 
 10< Q/U< 36  (8) 
 Log 10 ( Q 30 /Q )<−6  (9) wherein Q is the transmission intensity in the direction of regular transmission, when visible light rays have been irradiated on the antiglare sheet perpendicular to the transparent base material side, wherein Q 30 is the transmission intensity in the direction 30 degrees from the direction of regular transmission, and wherein U is the mean value of the transmission intensity determined by extrapolation of a straight line connecting the transmission intensity in the direction +2 degrees from the direction of regular transmission with the transmission intensity in the direction +1 degrees from the direction of regular transmission, and a straight line connecting the transmission intensity in the direction −2 degrees from the direction of regular transmission with the transmission intensity in the direction −1 degrees from the degree of regular transmission, to regular transmission.