A lip seal device for sealing the gap between a housing and a rotary shaft comprises a case surrounding the rotary shaft, a plurality of lip seals fitted inside the case and including at least two lip seals, support means for holding the lip seals on the outer circumferential portions thereof and seal means located on the outside of the circumferential surface of the case. The inner circumferential portions of the lip seals are curved toward the sealed fluid and have a sealing surface in contact with the outside circumferential surface of the rotary shaft. The contact pressure of the lip seal furthest from the sealed fluid is lower than the contact pressure of the lip seal closest to the sealed fluid.