Provided is a heat conductive silicone grease composition, including: an organopolysiloxane containing 2 or more alkenyl groups bonded to silicon atoms within each molecule, an organopolysiloxane with a specific structure and with a kinematic viscosity at 25 DEG C of 10 to 10,000 mm 2 /s, an alkoxysilane containing specific substituent groups, an organohydrogenpolysiloxane containing 2 or more SiH groups within each molecule, a heat conductive filler, a platinum-based catalyst, and an addition reaction retarder. The heat conductive silicone grease composition exhibits high thermal conductivity, has excellent fluidity prior to curing and therefore exhibits favorable workability, is capable of filling fine indentations and therefore reduces contact resistance, and is also able to prevent oil separation and bleeding of the heat conductive material following curing, meaning the composition exhibits excellent heat radiation performance and reliability. Also, the heat conductive silicone grease composition exhibits improved durability under conditions of high temperature and high humidity, and thereby exhibits further improved reliability during actual use.