A system for transforming and displaying coordinates dates, which collects a coordinate area image from a controller of a machine by image collect means, wherein the coordinate imager includes numeral pattern and the coordinate numeral of the numeral pattern is gained from the feedback value of the grating scale or the encoder of the machine, and displayed on a monitor of the controller. The system, hereinbefore, transforms the coordinate numeral pattern into coordinate value for calculating and the change range of the coordinate value is synchronously displayed on a screen of the system for a measure system to refer and compare.