A numerical controller of the present invention includes a parameter setting unit which accepts settings of punch press parameters, an NC parameter calculating unit which calculates an axis control parameter in punch pressing based on the punch press parameters, a parameter storage unit which stores the punch press parameters and the axis control parameter, a command analyzing unit which analyzes a command block in the program to generate movement command data, an interpolating unit which generates interpolation data based on the movement command data, and an accelerating and decelerating unit which calculates a linear acceleration and deceleration time constant and a bell-shaped acceleration and deceleration time constant for use in axis control based on the punch press parameters, the axis control parameter, and a feed rate specified by the command block and performs post-interpolation acceleration or deceleration processing based on each of the calculated acceleration and deceleration time constants.