New measurements of the thermal conductivity of polymethyl methacrylate (PMMA), BK7, and Pyrex 7740 are presented. The technique employed is a refined transient hot-wire technique, based on a full theoretical model with equations solved by finite elements for the exact geometry. At the 95 % confidence level, the standard deviations of the thermal conductivity measurements of PMMA, BK7, and Pyrex 7740 are 0.47 %, 1.0 %, and 0.8 %, respectively. The technique is absolute and is characterized by an uncertainty of <1 %.