Disclosed are a thermally conductive composition that contains 10 to 50 parts by mass of a thermoplastic resin (A) and 50 to 90 parts by mass of a metal oxide (B) such as magnesium oxide (a total of the thermoplastic resin (A) and the metal oxide (B) being 100 parts by mass), and a thermally conductive composition that contains a thermoplastic resin (A) and a metal oxide (B) such as magnesium oxide, in which a modified polyolefin-based wax (C) is further contained in an amount of 0.1 to 20 parts by mass with respect to 100 parts by mass of the thermoplastic resin (A), such thermally conductive compositions being useful for applications such as a container, a piece of tableware, a heat dissipating member, a water-circulating structure material, an electronic device casing, a timepiece exterior material, a tumbler, and a commodity for daily use.