A biologically implantable percutaneous connector (20) for providing optionally separable interconnection between an implanted connector (21) attached to bone tissue and a removable connector (40). The connectors each include a supporting matrix of dielectric material (86, 94) within which an array of tiny conductive rods (90, 88) are sealed with ends (112, 110) of the rods exposed as contacts at mating faces (94, 92) and the other ends (102, 100) joined to conductors (33, 43) of cables (32, 42). Elastomeric anisotropic connector material (44) is located between corresponding arrays of contacts to provide for repeated reliable electrical connection and disconnection of corresponding contacts. External surfaces of the implantable body (21) of the percutaneous connector may be coated with a bioactive material promoting integration of surrounding tissue into the surfaces of the implanted percutaneous connector. A contact block (22, 62) including the mating face (94, 92) and a terminal face (98, 96) to which the conductors of a cable are individually connected is made by shaping an array of conductive rods (90, 88) and supporting dielectric material to form a smooth surface including dielectric matrix material and the ends of the electrically conductive rods.