Abstract: A corkscrew has an external tubular body having a mouth forming a support over a bottle, a spiral introducible into a cork when rotating the corkscrew, a support for supporting the spiral, and an actuating unit including a toothing provided on the tubular body, an arm having a lower end engageable with the toothing and a lever pivotably connected with the tubular body and also with an upper end of the arm and turnable toward and away form the tubular body, to provide step-by-step an engagement of the lower end of the arm with the toothing, a disengagement of the lower arm with the toothing, and a subsequent engagement of the lower end of the arm with the toothing at a greater height to impart an ascending movement to the support means and thereby to the spiral for removing the cork.