A method for additive manufacturing of three-dimensional objects from metallic glasses utilizing a process of melting of successive layers of the starting material by a laser beam or an electron beam. The method includes steps such that every material layer is melted twice, using parameters which yield a crystalline melt trace in the first melting, and the successively melted beam paths contact with one another, while in the second melting, parameters yielding an amorphous melt trace are used, and the successively remelted paths or spots do not come in contact with one another, and/or between the scanning of successive paths or spots, an interval not shorter than 10 ms is maintained, the surface power density in the first remelting being lower than in the second remelting.