In this paper, sensorless control of a novel linear magnetostrictive motor is described. We developed a novel lowpower linear magnetostrictive motor with local three-phase excitation. In response to a traveling magnetic field inside the Terfenol-D element, it moves in the opposite direction with a peristaltic motion. It is observed that there is a direct relationship between the active element's position and the coils' inductances. To detect the inductance change, the coil's current response to a pulse voltage input is monitored. Then a fundamental relationship between the coils' current response pulse widths and active element's position is developed. Eventually, the closed-loop sensorless control of the linear magnetostrictive motor was successfully performed. The sensorless control demonstrated the position-estimation capability with a ±1-mm maximum error.