A device for connecting two twin tubes (1, 2) of a cloth material is constituted by a metal bow (3) in the shape of a "figure eight" arranged in a cloth pocket at the end of a first tube (1), a distance rod (4) arranged in a cloth pocket at the end of a separation wall (1C) between the two tube parts (1A, 1B), a clamp strap (5), which has a shape corresponding to that of the metal bow (3) and is to be arranged over the metal bow in its pocket of the first tube (1) and over the end of the second tube (2) pulled over the end of the first tube, and means (10, 15, 16, 18) associated with the distance rod (4) for tightening the clamp strap (5) to the metal bow (3).