The paper presents a model of a novel miniature piezoelectric motor (MPM) that produces rotation at versatile torque and speeds. This is a disk type motor that provides actuation to nano- and micromachines. The MPM relies on the piezoelectric effect rather than the magnetic field phenomenon to produce rotation, and hence, it is well suited for applications where a magnetic field is not tolerated and in miniature sizes (possibly nano sizes in the near future, as the author is working on a new nanomanufacturing technique which will facilitate the fabrication of structures at the nanoscale.). In addition to its small size compared with magnetic motors, the MPM can be activated with low voltage, because it converts the electrical energy directly into motion. For this reason, MPM can achieve nano-scale precision when used in positioning applications. Initial simulation results of the proposed model have affirmed that the MPM can deliver large torque compared with some commercial micro motors, and consumes less electrical energy. One point is highlighted in the results is the suitability of the motor to applications that require large torque rather than speed. Besides that, a significant feature of the micro motor is its thickness. Because the motor has no length as in traditional micro motors, it can be used as a disk motor in applications where the available free space is limited to the motor diameter.