PURPOSE: To control two axes by a numerical control (NC) instruction and to carry out a profile control by three axes, by controlling the NC instruction speed so as to unify the NC instruction speed of the two axes and the composed speed of the profile control of the three axes.

CONSTITUTION: By the contact of a stylus 21 to a model, displacement amounts x, y, and z in the direction of X-axis, Y-axis, and Z-axis are detected and input to a converting circuit 11 and a composition circuit 13, the displacement amounts Ec and Es of two axes of the instructed profiling surfaces are selected from these displacement amounts, to find the speed components V1 and V2 of the two axes, and, speed signals Vxa, Vya, and Vza are produced and the speed instruction of the Z-axis is delivered to a servomotor 18z so as to drive a Z-axis servomotor 22z. On the other hand, the profiling speeds Vxa and Vya of the X-axis and Y-axis are used to control the NC instruction speed, and the profiling speed of the X-axis by the profile control and the speed of the X-axis by the NC instruction are made coincident.