Abstract: The implant is intended for introduction into an alveolar space. It is configured as an absorbable composite body made of at least a first and a second part body. The first part body is configured as a cone, truncated cone or cylinder having a body base face. The second part body is configured as a cover membrane with a membrane face, which is larger than the body base face. The cover membrane is placed on the body base face, so it projects laterally everywhere over the body base face. The first and second part body are rigidly connected to one another in the region of the mutually adjacent body base face and membrane face.