As of July 2009[update], 336 bodies are formally classified as moons. They include 168 orbiting six of the eight planets, 6 orbiting three of the five dwarf planets, 104 asteroid moons, and 58 satellites of Trans-Neptunian objects, some of which will likely turn out to be dwarf planets. Some 150 additional small bodies were observed within Saturn's ring system, but they were not tracked long enough to establish orbits. Planets around other stars are likely to have natural satellites as well, although none have been observed.
List of Solar System planets with satellites:
For other mentioned planets (for example minor dwarf planets beyond Solar System with satellites) look up Wikipedia: http://en.wikipedia.org/wiki/Natural_satellite