Recommended values of the coefficients of viscosity of 11 common gases (He, Ne, Ar, Kr, Xe, N2, H2, 02, C02, CH4, air) are given over the temperature range for which reliable data exist. A critical reassessment of all available data confirms the recently expressed view that most of the early measurements of high-temperature viscosities are seriously in error (by up to 8% at 1700K). These results have been rejected in favor of more recent data in establishing the values recommended in this paper and estimated to be accurate to 1.0-1.5%.