A method of making a hose connection for a hose, including at least the following steps of processing of a metal sheet: drawing for the creation of a semi-processed axially hollow cylindrical piece having a base end and a top end; opening of the base end of the semi-processed piece; forming of an external flange of the semi-processed piece; and forming by a mould of a terminal section of the semi-processed piece comprising the base end for the creation of at least one tooth of hooking to the hose, the mould subjecting the terminal section of the semi-processed piece to an axial compression of a magnitude such as to generate on the terminal section of the semi-finished piece a plastic deformation of radial expansion through which the terminal section shapes to the surfaces of the mould.