The concept of continental shelf as an inherent right to coastal State has a history of almost a hundred year but its legal status has several gaps which need to be resolved in the forseeable future. Delimitation of continental shelf between States with adjacent or opposite coasts has been a problematic issue since the elaboration of the legal concept of continental shelf but the present essay aims to highlight some other problems emerging since the first application of Article 76 of UNCLOS. These legal problems are related to the procedure of establishing of the outer limits of continental shelf beyond 200 nautical miles. The essay examines these legal problems and demonstrates the challenge caused to the Arctic continental shelf as an example.