1. A device for treating areas of human or animal skin or mucous membrane by means of a cold atmospheric pressure plasma by generating a dielectric barrier surface discharge, the device being designed as a supple cuff for tissue repair, comprising at least one flexible insulating material (1 ), a planar flexible high-voltage electrode (2), a flexible dielectric (3), a planarflexible earthed electrode (4) and a gas supply (7), the flexible high-voltage electrode (2) being embedded between the insulating material (1) and the insulating elastomer (3) used as the dielectric, and the earthed electrode (4) being attached to the elastomer surface that faces the surface to be treated, characterized in that the supple cuff is designed to cover an area to be treated such that the area is protected from desiccation.