A cutting processing machine (1) includes an NC device (200). The NC device (200) includes a tool radius compensation amount calculator (201), a processing trace calculator (202), and a driving controller (203). In a case where a processing condition (CP) includes cutting tool change information set with a change of a tool trace (TP) during cutting processing and set such that, in a case where the tool trace (TP) is changed, a control center point (CL) is fixed relative to a surface to be processed of a final processed product, the tool radius compensation amount calculator (201) recognizes a plurality of tool traces (TP) included in the cutting tool change information and generates tool radius compensation information (TC) that includes the plurality of tool traces (TP), positions formed with a surface to be processed (MPL), the control center point (CL), and tool radius compensation values (MVL). The processing trace calculator (202) generates a tool radius compensation control signal (TS).