Abstract: The data on predators and ungulates population dynamics in Almaty Nature reserve (Kazakhstan) in 1983-1987s are given. The number of snow leopard is stable (3-5 individuals), the density is 0.06 indi/1000 ha. An insignificant increase of Siberian ibex' number (660 to 700) with density of 36 indi/1000 ha is recorded.