Thermally conductive silicone composition

A thermally conductive silicone composition which comprises (A) 5 to 30 weight % of a liquid silicone, (B) 50 to 94.98 weight % of at least one thickener selected from the group consisting of a zinc oxide powder, an aluminum powder, an aluminum nitride powder, a boron nitride powder and a silicon carbide powder, (C) 0.01 to 10 weight % of an organopolysiloxane having at least one per molecule of hydroxyl group attached directly to a silicon atom, and (D) 0.01 to 10 weight % of an alkoxysilane, thereby retainining satisfactory thermal conductive properties and hardly causing oil bleeding over a long time.