A numerical controller generates movement command data, and performs an interpolation process based on the generated movement command data to generate and output interpolation data. Further, in the case of a state in which a press operation in punch press machining is started from a different position from a position of a preset rising edge, an overlap time is calculated based on a position of a punch head when the press operation is started, and an output timing of interpolation data related to an axis controlling the press operation is controlled based on the calculated overlap time. In this way, even when there is a change in press stroke, a dead time may be prevented from being generated.