Machine (10) for the production of coiled gaskets from continuous strips, i.e. a master backing strip (1a) and sealing filler strip (1b), to be spirally wound onto rings, templates or inner rings (11), comprising at least: means (2) for feeding the strips (1a,1b) to be wound, a unit (100) for straightening and forming the backing strip (1a), a unit (200) for making incisions in and cutting the backing strip (1a), arranged downstream of the forming unit (100), a unit (300) for joining together the master strip (1a) and filler strip (1b) so as to form a combined strip (1) and cutting the filler strip (1b), a rotating spindle unit (400) for winding the combined strip (1), arranged downstream of the strip joining unit (300); a unit (500) for driving the ring or inner-ring (11) arranged downstream of the spindle (400), and a unit (600) for welding the master strip (1a), said units being designed to be able to produce automatically and in sequence a finished gasket, in accordance with a program managed by means (1000) for programming, controlling and actuating the operations.