A seal arrangement includes a first and a second machine element have a sealing gap and are movable in translation relative to one another. A seal element has a sealing lip arranged in a holding groove in the first machine element and which serves to seal off a low-pressure and high-pressure region. A rubber-elastically deformable preloading element in the holding groove serves to preload the seal element. At least one elastically deformable damping member is arranged between a low-pressure side groove flank and the seal element. A free space is formed between the damping member and the sealing surface. The damping member is compressed in the axial direction by the seal element when the high-pressure region is subjected to pressure and can be deformed freely into the free space. The damping member is of a material having a lower elasticity modulus than the seal element.