A new simple viscosity-temperature equation with only three adjustable parameters is proposed that is valid over the entire saturated liquid curve for a chemically diverse set of compounds. This equation can incorporate the correct near-critical behavior and satisfies the need for a reliable equation for fitting and predicting the viscosity of saturated liquids. It reproduces data within the experimental uncertainty over the entire saturated liquid region. Compared with the previous viscosity-temperature equations, the new equation not only more accurately correlates experimental data but also more effectively extrapolates values from the usual range in which data are available both to the critical point and to the triple point.