Single-molecule junctions have been extensively used to probe properties as diverse as electrical conduction 1-3 , light emission 4 , thermoelectric energy conversion 5,6 , quantum interference 7,8 , heat dissipation 9,10 and electronic noise 11 at atomic and molecular scales. However, a key quantity of current interest-the thermal conductance of single-molecule junctions-has not yet been directly experimentally determined, owing to the challenge of detecting minute heat currents at the picowatt level. Here we show that picowatt-resolution scanning probes previously developed to study the thermal conductance of single-metal-atom junctions 12 , when used in conjunction with a time-averaging measurement scheme to increase the signal-to-noise ratio, also allow quantification of the much lower thermal conductance of single-molecule junctions. Our experiments on prototypical Au-alkanedithiol-Au junctions containing two to ten carbon atoms confirm that thermal conductance is to a first approximation independent of molecular length, consistent with detailed ab initio simulations. We anticipate that our approach will enable systematic exploration of thermal transport in many other one-dimensional systems, such as short molecules and polymer chains, for which computational predictions of thermal conductance 13-16 have remained experimentally inaccessible.Studies of charge and heat transport in molecules are of great fundamental interest, and are of critical importance for the development of a variety of technologies, including molecular electronics 17 , thermally conductive polymers 18 and thermoelectric energy-conversion devices 19 . Given this overall importance and the daunting experimental challenges, a number of initial studies explored charge transport in ensembles of molecules 20,21 . Although such measurements provided important insights, researchers gradually began to realize that it was