The present invention relates to a method for registration of a sequence of 2D image data (5) of a hollow channel (2), in particular of a vessel, recorded with an imaging endoluminal instrument (1) when the relative displacement positions of the instrument (1) in the hollow channel (2) are known, with 3D image data (8) of the hollow channel (2). In the method a three-dimensional path of a central axis (10) of a definable section of the hollow channel (2) is determined from the 3D image data (8), the three-dimensional path of the central axis (10) is converted into a rectilinear path by a first transformation of the 3D image data (8) of the definable section of the hollow channel (2) and transformation parameters required for the first transformation are stored. A combined 3D image data record (11) is generated from the sequence of 2D image data (5) by a parallel side-by-side arrangement on a central straight line in accordance with the known relative displacement positions, and is first registered with the transformed 3D image data (9) by equating the central straight line with the rectilinear path of the central axis (10) and suitable translation for superposition of a shared reference point. The combined 3D image data record (11) or 2D image data (5) contained therein is then registered with the 3D image data (3), taking into account the stored transformation parameters.