A new method is presented for the prediction of the transport properties (viscosity, thermal conductivity, and diffusion coefficient) of liquids. The method is based on the rough hard sphere theory of Chandler and incorporates the recent molecular dynamics results for Lennard-Jones fluids reported by Heyes. The Lennard-Jones parameters and the effective hard sphere diameter required in the calculations were determined from a knowledge only of the density-temperature behavior of the fluid at atmospheric pressure using the Ross variational perturbation method. Analytical expressions are presented for the transport properties of the n-alkanes, and comparisons are shown between calculations and experiment. The results generally agree with published results within experimental error. The analytical expressions also allow the transport properties of the alkanes to be calculated at conditions of temperature and pressure where direct measurements would be difficult.