The present invention relates to a method and an apparatus for extruding continuously molded bodies, wherein an extrusion solution, in particular an extrusion solution containing water, cellulose and a tertiary amine oxide, is extruded through an extrusion orifice into a continuously molded body and is then deflected by means of a deflector (7). To improve the quality of the continuously molded bodies produced by the method or apparatus of the invention, the extrusion orifices are arranged in a row such that the individual, continuously molded bodies exit in the form of a curtain (3) form the extrusion head. This curtain is then deflected by the deflector.