Abstract: Described herein is an embodiment of a method for the production of tubes for heat exchangers, including the steps of: a) producing an ingot with rectangular cross section (plate) b) hot-rolling said plate so as to form a blank c) rapidly cooling said blank by spraying water inside a purposely designed cooling tunnel d) cold-rolling said blank until a strip or skelp is obtained e) forming the tube starting from the skelp to pass from the plane geometry of the skelp to the cylindrical geometry of the tube and welding the tube; in which the ingot is formed starting from an alloy that can undergo precipitation hardening, and the tube is welded by high-frequency induction welding.