A method for producing a laminated object repeats a depositing step and an irradiating step alternatively. The irradiating step comprises the operations of: covering a deposited layer with a mask having a pattern configuration for penetrating the laser beam; and scanning the laser beam on the deposited layer covered with the mask in such a manner that the laser beam depicts an irradiated continuous wave trace being wider than the pattern configuration of the mask, by moving the laser beam in the Y-direction with a Y-rotating mirror, while repeating oscillations of the laser beam in the X-direction with a X-rotating mirror. The laminated object may be a casting mold. In a second aspect of the invention, laser beam energy is adjusted depending on detected material temperature.; In a third aspect of the invention, depositing means and previously deposited material layers are kept apart to prevent friction. In a fourth aspect of the invention, thickness detecting means are used to correct the thickness fluctuations between subsequent layers. In a fifth aspect of the invention, several apparatuses are used with a common irradiating means. In a sixth aspect of the invention, a mask holder is used that can carry several masks, and while irradiating means are being discharged on the deposited layer covered with a mask, at least one other mask is being exchanged.