Аннотация:The Hermit A crater is located in the vicinity of the north pole of the moon.Data from three lunar missions (Chandrayaan-1, -2, LRO) suggest that thiscrater is one of the places where deposits of water ice or other volatile compounds may be present.. We calculated the illumination condition inthe region of Hermite A crater. We used theMonte Carlo method to estimate the amount of water that can be delivered to the Hermit A crater as a result of asteroid or comet impacts.. Our calculations show that even with a single collision of an asteroid or a comet with the Moon, from 0.8·103 to 5.3·1010 g of water can be preserved in the Hermite A crater.