A device for the sealing connection of a pressure hose with a grip element of a surgical instrument. The device comprising at least one sealing element that, in an assembled state, is interposed between the grip element and the pressure hose in a connecting region to create a seal. A support element is provided and arranged in the connecting region in the interior of the pressure hose such that the sealing element is clamped, or can be clamped, between the support element and the pressure hose on one side and the grip element on the other side. In addition, a handle for a surgical device, in particular a cryogenic surgical instrument, comprising a grip element for holding the surgical instrument and comprising at least one pressure hose that is connected, or can be connected, with the grip element via the device for the sealing connection.