Using our previous estimation equation of the heat of vaporization for liquids with the residual function method, and with the liquid free volume model as well as the theory of molecular dynamics, a new two-parameter model of thermal conductivity for liquids has been derived. With this new model, the thermal conductivity data for 68 kinds of liquids at 1217 temperature sets were tested. The results are compared with the recent models proposed by Lei et al. [Q. Lie, Y.C. Hou, R. Lin, Chem. Eng. Sci. 52 (1997) 1234; Q. Lie, R. Lin, D. Ni, J. Chem. Eng. Data 42 (1997) 971], Klass et al. [D.M. Klaas, D.S. Viswanath, Ind. Eng. Chem. Res. 37 (1998) 2064], and with the Jamieson equation and the modified Riedel equation. The comparison shows that this model is applicable to many kinds of liquids for a relatively wide range of temperature up to the critical point.