Is there ice on the moon?

This is The Lunar Prospector which takes pictures of the moon.

If you look at the picture on the right, you will see the picture that it took.

This is the Lunar South Pole.




This is the moon. I always thought that there was ice on the moon. But one of the internet website says that the moon does not have ice. Because there is no water. Because there is no water vapour to form rain. There is noi water vapour because there is no air on the moon.