An orthognathic system using a 3-dimensional hybrid image constructing program according to an embodiment of the present invention includes: a dental clinic server configured to prepare preliminary data for orthognathic surgery based on CT image data acquired by a CT imaging apparatus, transmit the preliminary data to an orthognathic device manufacturer server, perform virtual orthognathic surgery by inputting osteotomy data received from the orthognathic device manufacturer server into the 3-dimensional hybrid image constructing program, and transmit the result of the virtual orthognathic surgery to the orthognathic device manufacturer server; and an orthognathic device manufacturer server configured to merge CT data with gingival data, extract this to generate a jaw-bone 3-dimensional image file, cut the jaw bones within the program by using the generated jaw-bone 3-dimensional image file, and transmit the data to the dental clinic server.