Soft gamma-radiation (20-400 keV) arriving from the atmosphere is being monitored by Polar Geophysical Institute (PGI), Apatity, Russia, at several stations located between Spitsbergen and the Causases. In Apatity and Spitsbergen, it has been carried out for ten years already. Detectors of the same type with output integral channels > 20 keV and > 100 keV are used. All the stations record increases in the gammaradiation flux, which are sometimes as high as 100%. These increases occur all the year round, in winter and summer and are recorded at all the stations. A great database on these increases has been used to analyze their characteristics. The detector used in Apatity, is integrated into a complex set carrying out monitoring over the main components of the secondary cosmic rays. According to the earlier experiments, no radioactive contamination has been found in precipitation. The integral and differential data have been analyzed to reveal the peculiarities of the phenomenon studied.