Shark Finning Prohibition Act

Shark Finning Prohibition Act - Amends the Magnuson-Stevens Fishery Conservation and Management Act to make it unlawful to: (1) remove any of the fins of a shark, including the tail, and discard the carcass of the shark at sea; (2) have control or possession of such a fin aboard a fishing vessel without the corresponding carcass; or (3) land such a fin without the corresponding carcass. Requires the Secretary of Commerce to: (1) initiate international negotiations for the prohibition of shark-finning; (2) submit to Congress a list of nations whose vessels conduct shark- finning, set forth a plan of action for the international conservation of sharks, and include recommendations for U.S. compliance with national, international, and regional obligations relating to shark populations; and (3) establish a research program for Pacific and Atlantic sharks. Directs the National Marine Fisheries Service to initiate a western Pacific longline fisheries cooperative research program. Authorizes appropriations.