The centering of relativistic superpinched beams from large aspect ratio diodes (r/d≫1) onto small targets for studies of superpinches relies on a centering force, which is normally so weak that small diode asymmetries will cause the beam to pinch off axis. A new technique is described herein that increases the magnetic centering force by approximately a factor of 103through control of the return current flow pattern on the anode surface. Preliminary experiments conducted on the Nereus accelerator (Vg=100 kV,Ip=50 kA, and &tgr;=50 ns) have demonstrated that the superpinch can be reproducibly centered within 0.025 cm of the axis of a 2.54‐cm‐diam flat cathode.