Abstract: The method of making a gasket structure for sealing mating parts together in which the body portion of the gasket structure is formed by convolutely wound annular alternate discrete layers of a carrier material and a fluid impermeable polymeric material adhered thereto of substantially uniform thickness from layer to layer, and cured, and characterized by having the body portion of the gasket structure, throughout substantially its entire extent, compacted to a substantially uniform density. The gasket structure may be formed with a bead of relatively low density, as compared to the body portion, on at least one surface thereof to compensate for surface contour variations, and a coating layer may be provided covering the gasket structure, which is cured after application and which is characterized by its impermeability to, and resistance to, the fluids which are to be sealed off, and to minimize the clamping forces required for compaction to completely seal the mating parts.