The transient hot wire method incorporating with a static magnetic field has been developed to measure thermal conductivities of molten metals. Measurements were conducted on liquid mercury. Prior to the measurements, effect of an alumina-coated hot wire on the measurements was evaluated. Natural convection was effectively suppressed by the Lorentz force acting on the mercury in a static magnetic field. The thermal conductivity of liquid mercury is .5 W/mK at 94 K.