A method for producing capillaries from nonferrous alloys, in particular of Al, which includes the continuous cold rotary extrusion of a blank having a solid cross-section, obtained by casting, in order to produce a tube having a hollow cross-section. The deformation of the blank to be extruded is achieved only by using friction force. The method further includes at least one step of cold drawing of the extruded tube in order to reduce its diameter to the diameters corresponding to a capillary.