The invention is directed to an arrangement for the optoelectronic recording of large-area fingerprints, particularly for acquiring prints of the entire palm of the hand. The object of the invention is to find a novel possibility for recording the papillary ridge pattern of a hand which permits a complete optoelectronic image recording with one-time placement of large-area concave skin parts without the use of optical beam paths that are subject to contamination and without having to accept a loss of resolution. This object is met, according to the invention, in that the support body for supporting the skin parts has the basic shape of a cylinder providing a portion of the outer surface with a sufficient radian measure and radius as support surface, the end faces of the support body are each provided with a conical recess which is arranged coaxially around the cylinder axis in order to couple in an illumination beam path and an imaging beam path through the surface lines of the conical recesses, and the imaging beam path and a linearly extending image sensor are rotatable synchronously around the cylinder axis in order to record successive line-shaped strips of the frustrated total reflection at the illuminated outer surface of the support body with the supported skin part.