A motor drive device includes: a position command generator which generates a position command; a damping filter unit which includes one or more stages of damping filters which reduce vibration of a device including a load and a motor, applies, to a position command, a damping filter determined based on a model parameter corresponding to a model of the device, and outputs a filtered position command to which the damping filter has been applied; a servo controller which gives a torque command to the motor based on the filtered position command; a low-pass filter unit; a parameter estimation unit which estimates the model parameter from the rotational speed and the torque command of the motor which have passed through the low-pass filter unit; and a vibration determination unit which determines presence or absence of vibration in the model.