To provide a numerical controller, a numerical control method and a numerical control program enabling to improve laser cutting speed. A numerical controller for dividing a laser cutting range into a plurality of sections and performing cutting in the respective sections with individual laser outputs includes a nonvolatile memory for storing division conditions and laser output conditions for the plurality of respective sections in association with a cutting condition identifier, and a CPU for specifying the cutting condition identifier as a command value along with an axial movement command in a cutting program, thereby sequentially applying the stored laser output conditions to the plurality of respective sections.