In order to provide a heat-conductive pressure-sensitive adhesive which is excellent in heat conductivity and adhesive property, in particular, shows a large adhesive force in a high temperature (heat resisting shear retention force), does not show an extreme viscosity increase during or after the preparation thereof, and is excellent in the stability, the present invention provides a heat-conductive pressure-sensitive adhesive comprising a) 100 parts by weight of a copolymer of a monomer mixture comprising from 70 to 99% by weight of a monomer made up of a (meth) acrylic acid alkyl ester having an alkyl group having from 2 to 14 carbon atoms on an average as the main constituent and from 30 to 1% by weight of a copolymerizable monomer having an acidic or basic polar group in the molecule and b) from 10 to 300 parts by weight of a heat-conductive filler having the same polarity as the polar group of the above-described copolymerizable monomer and having a purity of at least 95% by weight, an adhesive sheet comprising the layer of the heat-conductive pressure-sensitive adhesive on a substrate, and a method of fixing by adhesion an electronic part and a heat-radiating member which comprises fixing by adhering an electronic part and a heat-radiating member by the use of the heat-conductive pressure-sensitive adhesive or the adhesive sheet.