A numerical controller obtains a position of each driving shaft of a machine performing determination of a feeding speed, interpolation and coordinate conversion according to a relative instruction path and an instruction speed of a tool tip point relative to a work instructed to a processing program. When determining the feeding speed, a reference point is provided on a tool or a table, a translation speed of the reference point viewed from a mechanical coordinate system is set to an observation target speed, a reference feeding speed is obtained so that the observation target speed is a predetermined reference speed, and the smaller of the reference feeding speed and the instruction feeding speed is set to the feeding speed.