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The transmittance of cloudiness was examined for the daily totals of global erythemal effective irradiance and global total irradiance in Innsbruck (577 m a.s.l., Western Austria) for the periods 1981-88 and 1993-94. The influence of varying cloudiness on the daily totals of global erythemal effective irradiance was found to be considerably greater than the influence of varying ozone. The lowest transmittance for daily totals of global erythemal effective irradiance was 9.4 %, the median and the 25-75 percentile range at 10/10 cloudiness 41.8 % (28.9-56.7 %). Similar transmittances were obtained for the daily totals of global total irradiance (300-3000 nm) as a function of cloudiness.