Abstract: Recently USA launched two Moon probes which are "Clementine" and "Lunar Prospector". They carried some newly developed or innovated instruments to map the elements abundances on the moon, such as gamma-ray spectrometer, neutron spectrometer and UV-VIS imager. Based on the data of high quality those instruments gained, new progress have been made about the quantification of lunar elements.
This paper summarizes those up to date progress in two ways. First the instruments used by Lunar Prospector and Clementine to map the elements abundances will be introduced, then the progress achieved in the theory of elements quantification will be discussed in detail, especially about the quantification of iron, titanium and Ree.