Abstract: In this tentering device the skin to be tentered is placed on a tentering frame in which a plurality of tentering clamps are displaceably held on radial guides, the skin being grasped by said tentering clamps is stretched by means of transmitted pulling forces.For the dependable detection and holding of the outer edge of the skin to be tentered without slipping or displacement, each tentering clamp (7, 8, 28) is provided with a pressing device (20, 29) which is displaceable with it, particularly in the form of a roller (25, 30), cylinder or rotating brush which, in combination with a backer-up, arranged below the skin, smooths and positions the skin for the closing of the tentering clamps.