Several correlations between viscosity and surface tension for saturated normal fluids have been proposed in the literature. Usually, they include three or four adjustable coefficients for every fluid and give generally good results. In this paper we propose a new and improved four-coefficient correlation that was obtained by fitting data ranging from the triple point to a point very near the critical one. Fifty-four substances were considered, including simple fluids (such as rare gases), simple hydrocarbons, refrigerants, and some other substances such as carbon dioxide, water, or ethanol. The new correlation clearly improves the results obtained with those previously available because it gives absolute average deviations below1% for 40 substances and below 2.1% for 10 substances more.