Allogenic or xenogenic materials are used to provide intervertebral disc nucleus implants and/or annular plugs. The allogenic or xenogenic materials comprise natural disc annulus material, which may have a portion of the anterior longitudinal ligament attached. The tissue may be used “as is” without an additional core or covering, or it may be used in combination with other materials. The material may be rolled, folded, layered and/or sutured, stapled, or glued to provide a solid plug of natural biological material. The implant may be provided as a dehydrated, substantially rod-shaped segment having a diameter less than the diameter of the hydrated material, and may have one or more ends of the dehydrated rod terminate with a further reduced diameter portion, preferably a point.