Reports of a variety of long-term climatological and short-term meteorological responses to solar activity indicate that solar activity controls these changes. There is the need for the mechanism of effect of solar activity on the climate change. The correlations of various climate and meteorological parameters, such as the cloud coverage, with space weather events due to solar activity , such as the variation of the galatic cosmic ray flux (GCR), on a wide range of time scales have been published According to these correlations, the mechanism of effect of solar activity on the climate, called spaceweather mechanism, has been suggested, which is including two sub-mechanisms:(1) the ion mediated nuclear formation theory (IMN theory);(2) Spaceweather-global circuit-cloud microphysics theory (inhereto Tinsley Theory). In this paper we review the progresses of the statistic research on correlation between spaceweather events and meterological and climatical parametersand the proceeding of the work on mechanism of the space-weather effect theory, which includes the proceeding in the ion mediate nuclei formation theory and the Tinsley theory. Although there are lots of work which have been done in the past ten years and the theories grow fast. However there are still some observation and modeling work need to be improved.