An apparatus for producing a three-dimensional shaped product in which a metallic powder or non-metallic powder loaded on a vertically movable table is laminated while being sintered by irradiating electromagnetic waves to each layer, thereby producing a predetermined three-dimensional shaped product and in which the following steps are sequentially repeated, that is: the metallic or non-metallic powder is sprayed on a base plate placed on the upper side of a vertically movable table in a shaping tank and having on the surface at least a material which can be adhered to the metallic or non-metallic powder upon solidification of the powder adjacent to the upper side by sintering and on the upper side of the table; a step that the upper-side surface of the sprayed powder is subjected to planarization and electromagnetic waves or electron beams are then irradiated along a layer having a predetermined thickness to a region to be shaped which is located at the uppermost position, thereby forming a sintered layer; and a step that the end part and/or the upper surface where the sintering has been performed are thereafter cut to effect molding, wherein a frame body is installed upright on the table for forming a vertical space between the base plate and the table, the base plate is placed on a support projecting horizontally from the frame body, the base plate is supported by arrangement so that the centre of gravity of the base plate is present inside a triangle formed by three locations (P, Q, R) or a quadrangle formed by four locations (P, Q, R, S) inside a region of the support, a projected part which projects at least above on the support and/or an inner wall of the frame body are contacted with a horizontally surrounding part of the base plate, and there is reliably realized at a region to be contacted such a situation that any one of the crossing angles formed by individual normal lines from three (P, Q, R) or more (P, Q, R, S) contact locations adjacent to each other is smaller than 180 degrees, thereby preventing the base plate from moving horizontally, characterized in that the table forms an inclined state sequentially lowering at a whole region inside a location supporting the frame body or at a region further inside away from the location, and a discharge opening is made at the lower end of the inclined table for discharging powder which has not been sintered. the metallic or non-metallic powder is sprayed on a base plate placed on the upper side of a vertically movable table in a shaping tank and having on the surface at least a material which can be adhered to the metallic or non-metallic powder upon solidification of the powder adjacent to the upper side by sintering and on the upper side of the table; a step that the upper-side surface of the sprayed powder is subjected to planarization and electromagnetic waves or electron beams are then irradiated along a layer having a predetermined thickness to a region to be shaped which is located at the uppermost position, thereby forming a sintered layer; and a step that the end part and/or the upper surface where the sintering has been performed are thereafter cut to effect molding, wherein a frame body is installed upright on the table for forming a vertical space between the base plate and the table, the base plate is placed on a support projecting horizontally from the frame body, the base plate is supported by arrangement so that the centre of gravity of the base plate is present inside a triangle formed by three locations (P, Q, R) or a quadrangle formed by four locations (P, Q, R, S) inside a region of the support, a projected part which projects at least above on the support and/or an inner wall of the frame body are contacted with a horizontally surrounding part of the base plate, and there is reliably realized at a region to be contacted such a situation that any one of the crossing angles formed by individual normal lines from three (P, Q, R) or more (P, Q, R, S) contact locations adjacent to each other is smaller than 180 degrees, thereby preventing the base plate from moving horizontally, characterized in that the table forms an inclined state sequentially lowering at a whole region inside a location supporting the frame body or at a region further inside away from the location, and a discharge opening is made at the lower end of the inclined table for discharging powder which has not been sintered.