A method of producing three-dimensional bodies which wholly or for selected parts consist of amorphous metal. A metal powder layer (4) is applied to a heat-conducting base (1, 13), and a limited area of the layer is melted by a radiation gun (5) and the area is cooled so that the melted area solidifies into amorphous metal. The melting process is successively repeated on new limited areas of the powder layer until a continuous layer of amorphous metal is formed. A new powder layer is applied and the method is repeated, the new layer being fused to underlying amorphous metal for successive construction of the three-dimensional body. The heat-conducting base can be a worktable or a body of amorphous metal or crystalline metal to which amorphous metal is added.