To provide an acrylic thermally-conductive pressure-sensitive adhesive composition not giving an unpleasant feeling to the sense of smell of a human, and to provide an acrylic thermally-conductive sheet-like molded product.

This thermally-conductive pressure-sensitive adhesive composition contains an (meth)acrylic acid ester copolymer (A), a thermally-conductive inorganic compound (B) in an amount of 70-170 pts.wt. based on 100 pts.wt. of the (meth)acrylic acid ester copolymer (A), and a perfume (C). The thermally-conductive sheet-like molded product is composed of a base material and a layer of the thermally-conductive pressure-sensitive adhesive composition formed on one or both of surfaces of the base material.