A control device of a machine tool which filters possible continued machining time data estimated from a value of current of a motor to thereby enable an accurate grasp of the time regardless of fluctuation of the load, that is, a control device of a machine tool which has a motor which drives a spindle, which control device of a machine tool can use a value of current of the motor, an overheat temperature of the motor, and a temperature of the motor to estimate the time until reaching the overheat temperature when the current operating current continues to be run through the motor, filter the estimated value of time by a filter to display a possible continued processing time, change a filter time constant based on either of a value of current and current command value, and accurately display the possible continued processing time even if the load fluctuates.