The distance between Venus and the Moon varies greatly depending on their positions in their orbits around the Sun and Earth. The Moon orbits Earth, and Earth orbits the Sun, as does Venus. At their closest approach, Venus can be about 38 to 39 million kilometers (roughly 24 million miles) away from the Moon, since the Moon is just about 384,000 kilometers from Earth. This minimum distance is essentially the closest distance between Venus and Earth minus the Moon's distance from Earth, which is very small in comparison to the distance to Venus.

Thus, the closest possible distance from Venus to the Moon is around 38 million kilometers, with the actual distance fluctuating as both bodies travel in their orbits.