Abstract: A method is provided for determining the end face position of an optical waveguide in a coordinate direction extending in the axial direction of the optical waveguide (1, 2) by means of a video camera via a processor. The method is simplified by means of the following steps: successive intensity values of the video signal are detected and stored by the holding unit (10) which intensity values are taken along a slit in a direction (y) which is perpendicular to the line direction (x) at the area of a coordinate position (x.sub.s); the processor converts the stored intensity values (I.sub.s) into a slit mean (averaged) intensity signal I.sub.m (x) and stores this signal; subsequently further slit signals (I.sub.s) are similarly formed and stored thereby covering an area overlying the end face of the optical waveguide (1, 2); and the position coordinates (x.sub.E1, x.sub.E2) of the end face of the optical waveguides (1, 2) is determined from the variation I.sub.m (x).