A graphite heat dissipation apparatus and a clamping frame for clamping a graphite heat dissipation fin module are provided. The graphite heat dissipation apparatus includes a graphite heat dissipation fin module and at least one clamping frame. The graphite heat dissipation fin module includes a substrate and a plurality of graphite fins which are positioned at and extend from one surface of the substrate. The clamping frame includes at least one support bracket, at least one retention plates and a frame body. The support brackets are positioned at top surface of a chassis. The frame body upwardly extends from the support brackets, and the retention plates traverse extend across the side surface of the frame body. The retention plates are used to clamp the substrate so that the graphite fins are positioned above the chassis. The graphite heat dissipation fin module is used to draw hear away from the electronic device which can be positioned below the substrate and at the surface of the chassis.