Electrostatic discharge (ESD) protection clamps for I/O terminals of integrated circuit (IC) cores comprise a bipolar transistor with an integrated Zener diode coupled between the base and collector of the transistor. Variations in clamp voltage in different parts of the same IC chip or wafer caused by conventional deep implant geometric mask shadowing are avoided by using shallow implants and forming the base coupled anode and collector coupled cathode of the Zener using opposed edges of a single relatively thin mask. The anode and cathode are self-aligned, and the width of the Zener space charge region between them is defined by the opposed edges substantially independent of location and orientation of the ESD clamps on the die or wafer. Because the mask is relatively thin and the anode and cathode implants relatively shallow, mask shadowing is negligible and prior art clamp voltage variations are avoided.