The properties of electrostatic ion‐cyclotron waves excited in a single‐ended cesium Q machine with a nonuniform magnetic field are described. The electrostatic ion‐cyclotron waves are generated in the usual manner by drawing an electron current to a small exciter disk immersed in the plasma column. The parallel and perpendicular (toB) wavelengths and phase velocities are determined by mapping out two‐dimensional wave phase contours. The wave frequency  f  depends on the location of the exciter disk in the nonuniform magnetic field, and propagating waves are only observed in the region where  f≳fci, where  fciis the local ion‐cyclotron frequency. The parallel phase velocity is in the direction of the electron drift. From measurements of the plasma properties along the axis, it is inferred that the electron drift velocity is not uniform along the entire current channel. The evidence suggests that the waves begin being excited at that axial position where the critical drift velocity is first exceeded, consistent with a current‐driven excitation mechanism.