Microwave radiation of frequency 0.1 to 20 GHz, is applied to the melt of viscosity in the range 10.sup.4 to 10.sup.1 Pas. The outside surface of heated space, where an outlet of the waveguide of microwave radiation is located, can be cooled. The microwave radiation in the melt may be reflected by the reflective metallic elements in the melt back to the place of radiation entry into the melt and shielded from the surroundings by a shielding metallic element. An outlet is provided of at least one waveguide from the source of the microwave radiation, in any direction to the outside surface of the melt, into the space with the melt of a given viscosity. At least one waveguide is led, for example, to the outside surface of the bottom of the channel of the forehearth.