An air conditioning element of a woven or non-woven fabric includes a wall provided with at least a first array of through holes for distributing air, wherein the following relations apply to the through holes constituting the first array: the twofold value of the square root of the quotient between the value of the inlet area of a through hole and the value π is less than or equal to the value of the wall thickness of the element in the region adjacent to the through hole and the center line of the through hole intersects the inlet plane of the through hole at an angle α=60° through 89°, more preferably 80° through 88°, most preferably 83° through 87°.