Gas hydrates – the firm crystal connections of water and low-molecular waterproof natural gases such as carbohydrates (mainly methane), СО2, N2 and others. At present, time exploitation of the Messoyahsk (Russia) and Mallik (Canada) deposits of gas hydrates is conducted actively. The further perfection of prospecting methods in the field of studying gas hydrate containing sediments in round extent depends on improvement of methods for native-state core sampling from these sediments.