A catheter pump having a drive unit and a catheter. The catheter has a pump head for inserting into the aorta and having a rotatably arranged rotor shall for driving an expandable conveying element provided on the pump head and has, at the proximal end thereof, a coupling section, which is connected to the rotor shaft for conjoint rotation and which can be rotated about a coupling axis. The drive unit having a drive and a drive section, which can be driven in rotation about a drive axis by the drive, the coupling section and/or the drive section having magnet elements for contactless mutual rotational coupling. The coupling and drive axes being spaced from each other by a distance a in the perpendicular direction in such a way that the magnetic field of the magnet elements pushes the coupling section in a direction extending perpendicularly to the coupling axis.