A numerical control device controlling a machine tool capable of machining on orthogonal three axes includes a parameter storage to store a noise-command allowable width to be used for determining whether to perform movement based on a movement command, and a path-correction processor to compare an absolute value of a movement amount according to a movement command in a command non-target axis direction that is a direction of an axis not included in a designated plane with the noise-command allowable width when a machining program block includes the movement command in the command non-target axis direction, determine the movement command in the command non-target axis direction to be a noise command when the absolute value of the movement amount according to the movement command in the command non-target axis direction is smaller, and perform path correction to set a movement amount according to the noise command to zero.