An additive manufacturing system, comprising: a machining head that includes: a wire nozzle to feed a wire-like material to a machining region on a surface of a base material, a beam source capable of emitting a beam to an end of the wire-like material, and a gas nozzle placed such that the beam source is interposed between the gas nozzle and the wire nozzle, the gas nozzle directing a gas toward the machining region; characterized in that the additive manufacturing system further comprises: a machining condition table that stores a machining condition that is used for the additive machining and is dependent on an angle that is formed between a direction in which the wire-like material is fed and a travel direction of the machining head, when viewed in a direction in which the beam is emitted; a machining-condition selection unit to obtain the angle on a basis of a machining path and to select the machining condition using the angle and the machining condition table; and a numerical control apparatus to select the machining condition on a basis of a machining program containing information on the machining condition selected by the machining-condition selection unit and on a basis of the angle wherein the additive manufacturing system performs additive machining by controlling the machining head. a machining head that includes: a wire nozzle to feed a wire-like material to a machining region on a surface of a base material, a beam source capable of emitting a beam to an end of the wire-like material, and a gas nozzle placed such that the beam source is interposed between the gas nozzle and the wire nozzle, the gas nozzle directing a gas toward the machining region; a wire nozzle to feed a wire-like material to a machining region on a surface of a base material, a beam source capable of emitting a beam to an end of the wire-like material, and a gas nozzle placed such that the beam source is interposed between the gas nozzle and the wire nozzle, the gas nozzle directing a gas toward the machining region; characterized in that the additive manufacturing system further comprises: a machining condition table that stores a machining condition that is used for the additive machining and is dependent on an angle that is formed between a direction in which the wire-like material is fed and a travel direction of the machining head, when viewed in a direction in which the beam is emitted; a machining-condition selection unit to obtain the angle on a basis of a machining path and to select the machining condition using the angle and the machining condition table; and a numerical control apparatus to select the machining condition on a basis of a machining program containing information on the machining condition selected by the machining-condition selection unit and on a basis of the angle wherein the additive manufacturing system performs additive machining by controlling the machining head. a machining condition table that stores a machining condition that is used for the additive machining and is dependent on an angle that is formed between a direction in which the wire-like material is fed and a travel direction of the machining head, when viewed in a direction in which the beam is emitted; a machining-condition selection unit to obtain the angle on a basis of a machining path and to select the machining condition using the angle and the machining condition table; and a numerical control apparatus to select the machining condition on a basis of a machining program containing information on the machining condition selected by the machining-condition selection unit and on a basis of the angle wherein the additive manufacturing system performs additive machining by controlling the machining head.