The determination of the presence of artificial radionuclides in the air is mainly accomplished by using gamma spectrometry analysis of filter samples. This work suggests very fast, reliable and efficient technique for tentative quantitative determination of the activity of artificial nuclides such as transuranic elements, strontium, yttrium, etc. in the air based only on the gross alpha and beta volume activity. The main aspect of this technique is to provide information about approximate results for the gross alpha and beta activity of air filters, thus it is convenient as triage technique. Unlike gamma spectrometry, this method is not qualitative but allows preliminary estimation of the presence of non-natural radionuclides. The glass microfiber filters of porosity of 2.7 μm and diameter of 110 mm were used for sampling the air. The influence of increment of the dust layer on self-absorption of alpha/beta particles was also studied. This method is particularly suitable for screening situations where radionuclide identification is not necessary.