Possible relationships between tropospheric and stratospheric temperatures in the Northern Hemisphere and atmospheric oscillations, solar and geomagnetic activity are described, using correlation analysis. The dependence of correlations on season, solar activity level and phase of the Quasi Biennial Oscillation (QBO) is also investigated. An important finding is that the variability of the hemispheric tropospheric temperature is well connected to the Scandinavian Pattern, to the Pacific North American teleconnection and less with the North Atlantic Oscillation. There is also a possible link with the Southern Oscillation (SO) for winter. Solar UV and cosmic ray flux might influence tropospheric temperature during warm seasons, solar maximum or QBO West. Significant correlations between the Northern stratospheric temperature and the SO is observed especially during the Eastern phase of QBO and solar minimum. Signatures of geomagnetic variability are seen in the winter stratospheric temperature. The stratospheric temperature correlates with the cosmic ray flux and solar UV at annual level at solar maximum and QBO West. The UV effect at the stratospheric level is less clear than expected. The existence of some correlations between tropospheric/stratospheric temperatures and internal and external parameters under certain climatic circumstances and during different solar cycle phases might help in identifying processes that transfer energy from the Sun to different atmospheric layers and in assessing their role in climate variability.