A transmission for a vehicle includes a knob configured to be rotated to select one of a plurality of shift stages, a driving unit for controlling rotation of the knob, and a shift controller for applying an electrical current to generate a torque in the driving unit. Further, the driving unit includes a magnetic field generator, a magnetization unit including a plurality of magnetic bodies arranged at regular intervals along a circumference of the magnetic field generator, and a magnet unit including at least one pair of magnetic poles arranged along a circumference of the magnetization unit. In particular, the magnetization unit or the magnet unit is coupled with the knob and rotates integrally with the knob. Depending on an intensity of a magnetic field generated by the magnetic field generator, the driving unit allows or prevents the rotation of the knob.