A method for producing a built-up object by melting and solidifying a filler metal to form weld beads on a base surface along a track for a torch and form the built-up object formed by the weld beads, wherein the built-up object includes a bead formation portion where a gravitational influence is maximum, wherein the method comprises: forming a supporting bead having a higher viscosity during weld-bead formation than other weld beads in the bead formation portion; and forming the other weld beads overlying the supporting bead; the method being characterised by the following: the bead formation portion is determined using a base-surface inclination angle (θ) and a track inclination angle (φ) as indexes of the gravitational influence, wherein the indexes of the gravitational influence are determined from cosθsinφ, wherein the base-surface inclination angle (θ) is an angle between the base surface on which the weld beads are to be formed and a vertical direction, wherein the track inclination angle (φ) is an angle between a track direction of the torch in forming the weld beads and a vertical direction on the base surface; wherein the built-up object includes deposited bead layers (54a, 54b, 54c, 54d) each including a plurality of the weld beads formed on/above the base surface, wherein in a case where the base surface is inclined with respect to the vertical direction, the supporting bead is formed in a lower-end portion of the bead layers (54a, 54b, 54c, 54d). wherein the built-up object includes a bead formation portion where a gravitational influence is maximum, wherein the method comprises: forming a supporting bead having a higher viscosity during weld-bead formation than other weld beads in the bead formation portion; and forming the other weld beads overlying the supporting bead; forming a supporting bead having a higher viscosity during weld-bead formation than other weld beads in the bead formation portion; and forming the other weld beads overlying the supporting bead; the method being characterised by the following: the bead formation portion is determined using a base-surface inclination angle (θ) and a track inclination angle (φ) as indexes of the gravitational influence, wherein the indexes of the gravitational influence are determined from cosθsinφ, wherein the base-surface inclination angle (θ) is an angle between the base surface on which the weld beads are to be formed and a vertical direction, wherein the track inclination angle (φ) is an angle between a track direction of the torch in forming the weld beads and a vertical direction on the base surface; wherein the built-up object includes deposited bead layers (54a, 54b, 54c, 54d) each including a plurality of the weld beads formed on/above the base surface, wherein in a case where the base surface is inclined with respect to the vertical direction, the supporting bead is formed in a lower-end portion of the bead layers (54a, 54b, 54c, 54d). the bead formation portion is determined using a base-surface inclination angle (θ) and a track inclination angle (φ) as indexes of the gravitational influence, wherein the indexes of the gravitational influence are determined from cosθsinφ, wherein the base-surface inclination angle (θ) is an angle between the base surface on which the weld beads are to be formed and a vertical direction, wherein the track inclination angle (φ) is an angle between a track direction of the torch in forming the weld beads and a vertical direction on the base surface; wherein the built-up object includes deposited bead layers (54a, 54b, 54c, 54d) each including a plurality of the weld beads formed on/above the base surface, wherein in a case where the base surface is inclined with respect to the vertical direction, the supporting bead is formed in a lower-end portion of the bead layers (54a, 54b, 54c, 54d).