The tooth root channel anchorage assembly comprises a core member to be fixed within the tooth root channel and a post to be inserted into the core member having a thoroughgoing bore. The core member comprises a crown part and an anchorage part to be fixed within the root canal, the surface of the anchorage part having a substantially hyperbolic form. Preferably the crown part of the core member as well as a part of the surface of the post have also a substantially hyperbolic form. The hyperbolic form allows a better anchoring and distributing of the load, thus reducing the danger of breaking of the post and root canal, still allowing the access to the root canal before the post is inserted.