A motor driving system includes an offset value learning part, which learns offset values of current sensors, when all switching elements are in off-states and a motor driving circuit is in an off-state, in which the motor driving circuit generates no motor driving current. The offset value learning part includes a first learning part and a second learning part. The first learning part learns the offset value of the current sensor of each phase at an arbitrary motor rotation angle, when an induced motor voltage of a three-phase motor is smaller than an input voltage of the motor driving circuit. The second learning part sequentially learns the offset value of the current sensor of the phase, a phase voltage value of which varying with the motor rotation angle is intermediate, when the induced motor voltage is equal to or larger than the input voltage.