In this review on the bases of knowing data we summarized the classification of meteorite groups, cosmic-ray ages of the different meteorite types from asteroid belt,Moon and Mars. At present there are thirteen well-established chondrites,seven different parent bodies that experienced high temperatures and pervasive melting,and twelve main iron meteorite groups.These meteorite groups were derived from separate parent bodies. In addition to the established groups,there are about ten unique chondrites or chondrite grouplets, and also numerous ungrouped irons and iron grouplets.Up to date, based on cosmic-ray produced nuclides cosmic-ray exposure ages of more than 1600 meteorites have been determined. From the distribution of cosmic-ray exposure ages for many meteorite groups we recognize clusters that can be interpreted as the result of collisions on a parent body releasing large numbers of fragments. The isotopic abundances of rare gases and cosmic-ray exposure ages of asteroid meteorites, planetary meteorites and the Apollo lunar samples applied to clue up and understanding cosmic-ray exposure history of parent bodies of different meteorite types, collision events, the relationship between cosmic-ray exposure ages and heliocentric distance of the parent bodies, irradiation history of precompaction exposure of chondrules, pairing meteorites for the Antarctic meteorites and desert meteorites, the ejection history of planetary meteorites(martian and lunar meteorites), and relative ages of lunar craters and so on.
