A hybrid pressure seal for use in a plunger bore or a stuffing box used in a plunger bore. The hybrid seal has a first, inner seal made of a first, durable material. The inner seal has a cut-out formed in its outer surface in which an outer seal is placed. The inner seal may have features on its inner surface such as V-shaped protrusions or a D-shaped surface. The outer seal is elastomeric. One or more hybrid seals of different configurations may be used in a packing, disposed between a junk ring and a lantern ring. The lantern ring may be integral with and made of the same material as an adjacent hybrid seal.