There is provided a green sheet through-hole machining apparatus, and a through-hole machining method, that allows deterioration of positional precision of through-holes after perforation to be readily prevented. A releasing plate made of a metallic thin plate is removably set on an upper face of a lower base. Then, a green sheet is interposed between the lower and upper bases and the upper base is pressed by a pressurizing roller to press the green sheet toward the releasing plate. Then, the green sheet is punched by the projections to perforate the through-holes. After that, the green sheet is removed from the lower base together with the releasing plate.