A digital model is presented for the purpose of design, manufacture and measurement ofhypoid gear, based on the non-uniform rational B-spline surface (NURBS) method. The digital modeland the function-oriented active design technique are combined to form a new design method forhypoid gears. The method is well adaptable to CNC bevel gear cutting machines and CNC-controlledgear inspection machines, and can be used to create the initial machine tool cutting location data orprogram measurement path. The presented example verifies the method is correct. A digital model is presented for the purpose of design, manufacture and measurement of hypoid gear, based on the non-uniform rational B-spline surface (NURBS) method. The digital modeland the function-oriented active design technique are combined to form a new design method forhypoid gears. The method is well adaptable to CNC bevel gear cutting machines and CNC-controlledgear inspection machines, and can be used to create the initial machine tool cutting location data orprogram measurement path. The presented example verifies the method is correct.