The thermal conductivities of 1,1,1-trifluoroethane (R143a) and R404A (mixture of pentafluoroethane (R125), 1,1,1-trifluoroethane (R143a), and 1,1,1,2-tetrafluoroethane (R134a) in the ratio of 44:52:4 by mass) in the liquid phase have been measured by the transient hot-wire method with a bare platinum wire. Measurements were carried out in the temperature range from 233 to 323 K and the pressure range from 2 to 20 MPa. Measured thermal conductivities were correlated as a polynomial of reduced temperature and pressure, whose absolute average deviation from the experimental data was 0.22% for R143a and 0.28% for R404A. The uncertainty of the experiment was estimated to be within (2%, and the reproducibility of the data was better than 0.5%.