The invention relates to a high-pressure container comprising a thin-walled, cylindrical metal liner (1) having bases (8) on the end sections and an outer stable jacket (2) that surrounds the liner (1). At least one of the bases (8) of the liner (1) has a slight convex curvature towards the interior of the liner (1). A pressure converter (4) is situated between the outer surface of the convex base (8) and the inner surface of a base part of the stable jacket (2), said converter being constructed from a rigid profiled base on the side facing the base part of the rigid jacket (2) and a deformable cushion (6) of viscoelastic material on the side facing the convex base (8).