A chuck table includes a main part having a holding surface for holding thereon a workpiece through a dicing tape, and a frame holder disposed around the main part for holding the annular frame. The main part has a flat surface that functions as the holding surface, an outer circumferential suction groove defined in a region of the holding surface that underlies an annular region of the adhesive tape between the workpiece and the frame of the frame unit, for holding the annular region of the adhesive tape under suction, and a suction channel held in fluid communication with the outer circumferential suction groove and a suction source. The frame holder pulls down the frame to a position lower than the holding surface to hold the dicing tape in close contact with the holding surface.