Abstract: Among species included in the Red Data Book of the USSR, predators occupy the first place; of them, unconditional leadership belongs the cat family species. Nine of eleven species of the family are referred to as rare and endangered ones. In the past snow leopard (Uncia uncia) inhabited all mountains on the south of the USSR from Tien Shan and Pamir to Transbaikalia. Now it no longer inhabits many of its previous habitats and has become rare, everywhere. Its total population in the USSR is no more than 1000 animals. At the beginning of XX century there were cases that such an amount of snow leopard (i.e. 1,000) was hunted during one year. Until recently, hunting the species was allowed all year round and even encouraged.