Low resistivity, implantable electrical connectors and biomedical leads having the connectors mechanically coupled to low resistivity wires in a non-welded attachment to extend implanted device battery life. One implantable electrical connector has an inner longitudinal aperture and two opposed flanges angled away from the longitudinal axis and coupled through a radially flexible inner circumferential wall to form a single piece, low resistance path. An elastic member can urge the flexible inner circumferential wall portion inward. In one connector, the electrically conductive, flexible inner wall portion can resiliently contact an inserted electrode. The connector body can include at least one hole adjacent a mechanically deformable sidewall for mechanically securing an electrical conductor inserted within the hole. The low resistivity, implantable, biocompatible electrical connectors and leads can be used in neurological and cardiac applications.