A method for producing ceramic fibers of a composition in the SiC range, starts from a spinning material that contains a polysilane-polycarbosilane copolymer solution. The spinning material is extruded through spinnerets in a dry spinning method and spun through a spinning duct into green fibers, and the green fibers are subsequently pyrolyzed. Accordingly, the polysilane-polycarbosilane solution contains between 75 wt. % and 95 wt. %, in particular between 80 and 90 wt. %, of an indifferent solvent, and the spinnerets have a capillary diameter between 20 and 70 μm, in particular between 30 and 60 μm, in particular between 40 and 50 μm.