The present invention relates to a method for producing a continuously molded body from an extrusion solution preferably containing water, cellulose and a tertiary amine. The extrusion solution is extruded through an extrusion duct orifice to obtain a continuously molded body. The continuously molded body is passed through an air gap in which it is stretched. To increase the loop strength and to reduce the tendency to fibrillate, the mean acceleration and/or the mean heat flow density are controlled according to the invention in accordance with predetermined formulae.