Abstract: In a double woven fabric with an upper layer and a lower layer, provision is made that, in the area of a desired predetermined separation line, a thread system with warp threads and weft threads alternates out of the upper layer into the lower layer and a thread system alternates out of the lower into the upper layer. At both sides of the desired predetermined separation line, the threads alternating between the upper layer and the lower layer and vice versa are separated in the lower layer. Created thereby is a flat textile structure with a predetermined separation line invisible from the viewing side of the surface of the double woven fabric.