Abstract: In this article the data mining methods of harmonic FFT and wavelet analysis are implemented to analyze the relation between these data sets:monthly sunspots recorded from 1749;global earthquakes ≥ M_S6 from 1920;north China earthquakes≥M_L4.7 from 1950;annual LOD of Earth recorded from 1832 to 1997 and monthly LOD of Earth from 1962.Two main conclusions are given as:(1) during high Sun activity time, Earthquakes activities also are in a high level albeit which occurrence postponed for 2-5 years.At that time, LOD of Earth is at a low speed.This time span is about 22 years.(2) in the normal evolvement of sunspots cycle of 11 years, during the low sunspots numbers Earthquakes will be increased albeit which occurrence postponed for 1-2 years.Considering the characteristic of their occurrence subsequence and postponing between the sunspots and CME activities, we think of the 11 years change of Earthquakes activities is indirectly due to impact of the sunspots, and yet influenced by the CME.Its reason comes from the fact of the CME occurrence rate rise sharply after just 1-2 years as the sunspots magnetism descend. Strong CME will increase Sun apparent oblateness, and continually throw out a huge matter of up to 1013 kg one time, which result in the synchronous change of LOD of Earth as the celestial perturbation and enhancement of earthquakes activities.