A sheet peeling apparatus 10 includes: a sticking means 14 for sticking a peeling tape PT by pressing the peeling tape PT onto an adhesive sheet S; a moving means 15 for moving the peeling tape PT stuck to the adhesive sheet S and a holding means 11 for holding a wafer W relative to each other to peel the adhesive sheet S; a detecting means 17 for detecting the position of the outer periphery of the adhesive sheet S, and outputting a signal thereof; an input means 18 for inputting a correction value; a controlling means 19 for determining a pressing position of the peeling tape PT to the adhesive sheet S based on the output signal from the detecting means 17 and the correction value, and controlling the moving means 15 so as to stick the adhesive sheet S at the pressing position.