In this paper, the design, construction, and operation of a magnetostrictive resonant torsional vibrator is described. To generate torsional vibration, two magnetostrictive patches are bonded on an aluminium horn. Two magnetic fields, longitudinal and circumferential, are applied into the patches. As a result, magnetostrictive patches vibrate torsionally based on the Wiedemann effect. The magnetostrictive patches are made up of "2V permendur" which has isotropic magnetic properties. The principle of the torsional vibrator is explained, and differential equations of torsional vibration of the horn are derived. A torsional horn is designed for resonant frequency of 8515 Hz. Experimental results show that the torsional angle of the tip of the horn is rad. This type of vibrator is exploited in applications which require torsional vibration such as miniature ultrasonic motors or ultrasonic assisted bone drilling system. In other words, the vibrator is being used as an actuator.