The Kuray Mountains are a mountain range in the Altai Republic, Russia.
Bounded to the south by the Kuray and Chuya Basins, the Kuray mountains form the northern part of a metamorphic dome complex. The highest peak is Tydtuyaryk at .
Major rivers flow from the Kuray mountains predominantly to the north, where they continue for several hundred kilometres through the northern Altai Mountains, passing through Lake Teletskoye.