A sheet sticking apparatus comprises a sheet feed-out unit 12 including a peel plate 22 for peeling off an adhesive sheet S from a release liner PS; and a press roller 14 for pressing the adhesive sheet S onto a wafer W supported by a table 13 to stick the sheet thereto, wherein the peel plate 22 is supported movably forward and backward by a cylinder 50. The peel plate 22 is arranged so that the initial position of the front end is adjusted forward/backward corresponding to the size of the wafer W or the size of the table 13 supporting the same.