A seal device is provided for sealing intermediate spaces formed between bodies arranged to be relatively movable, wherein the seal device has a resilient, gas-tight main body which is extendable in a peripheral direction and through which a portion of the first of the two bodies is guided, and a first end portion, which fastenable to the second body, and a second end portion, which is settable against the first movable body, wherein the second end portion is movable with respect to the first end portion in a first transverse direction which extends at an angle different from 0° with respect to a longitudinal direction. A sliding seal device, which is applicable to the first movable body so that a relative rotation is made possible between the first body and the second body by a pre-set angle, is arranged on the second end portion of the seal device.