The invention relates to a self-extracting stopper which can be accommodated inside the neck of the bottle, and which does not require a corkscrew or any other tool for the extraction thereof, formed by an assembly of parts preferably made of a plastic material and which, once assembled, permit a bottle or container to be stoppered. The face of the drum (8) and the surface of revolution of the flexible cylinder (4) can also carry marks that are engraved or in shallow relief. In this way, the assembly of the self-extracting stopper is formed by six elements and a cork cover (1), a nut (2), a flexible cylinder (5), a drum (8), a screw (12) and a wing nut (15), all of which are disposed and assembled according to their axial geometry, and which permit a method and process to be provided whereby bottles and/or containers can be stoppered or opened manually or automatically, and said self-extracting stopper being reusable.