This study is focused on the analysis of signatures of extra-terrestrial influence on the centennial variability of some climatic variables, during the period 1900-2010. The applied lagged cross-correlation analysis shows evidence for a synchronisation between intensity of galactic cosmic rays (GCR) and two climate variables – the air surface temperature and the sea level pressure. The time delay of climatic response is not more than 5 years in the regions of stronger correlations. Moreover, the centennial variability of GCR is imprinted on the ozone mixing ratio at 70 hPa, suggesting its role of a mediator of GCR influence on climate. Having in mind the ozone’s capability to control the near tropopause temperature and humidity, we have suggested a mechanism describing the transmission of GCR signal from lower stratosphere, down to the Earth’s surface.