Non-steady hot wire method was adopted to measure thermal coductivity of paraffin wax in the phases of liquid and solid for the utilization of thermal energy storage. The instrument was tested with the measurement of thermal conductivity of water at various temperatures. The reproducibility of the instrumetn was found to be ${pm}2%$, in which the results for water agree with the literature values. The thermal conductivity of paraffin wax varies from 0.177 W/m C to 0.236 W/m C when the phase changes from liquid to solid near the melting temperature.