1. Device for hermetically connecting a pressure hose (2) with an element (4) for gripping or with a connector of a surgical instrument (30), containing at least one sealing element (8), which in the assembled state is located between the element (4) for gripping with a pressure hose (2) in the connection area (10) so as to create a tightness, characterized in that it contains a support element (12), said support element being located in the connection area (10) in the inner space (14) of the pressure hose (2) that Thus, the sealing element (8) is clamped or can be clamped between the support element (12) and the pressure hose (2) on one side and the gripping element (4) on the other side. 2. The device according to claim 1, characterized in that the sealing element (8) contains at least one o-ring (18) or a similar female element, in the assembled state, encircled the pressure hose (2) and the support element (12). 3. The device according to claim 1 or 2, characterized in that the sealing element (8) contains at least two o-rings (18) or similar female elements encircling the pressure hose (2) and the supporting element (12), and these covering elements disconnected from each other by at least one separation element (16) .4. The device according to claim 1, characterized in that the support element (12) contains a support sleeve (22), which, in particular, has an outer diameter d that complements the inner diameter d of the pressure hose (2) and, in particular, slightly exceeds it, so that the supporting element (12) in the inner space (14) of the pressure hose (2) stretches the indicated1. Устройство для герметичного соединения напорного шланга (2) с элементом (4) для захватывания или с соединителем хирургического инструмента (30), содержащее,по меньшей мере, один герметизирующий элемент (8), который в собранном состоянии расположен между элементом (4) для захватывания и напорным шлангом (2) в области (10) соединения таким образом, чтобы создавать герметичность,от