A silicone grease composition is provided comprising (A) 2-40% by weight of an organopolysiloxane having a kinematic viscosity of 50-500,000 mm.sup.2/s at 25.degree. C., and (B) 60-98% by weight of at least one heat conductive filler selected from among metal powders, metal oxide powders and ceramic powders having a thermal conductivity of at least 10 W/m.degree. C. and an average particle size of 0.1-15.0 .mu.m. Coarse particles are removed such that a 500-mesh oversize fraction is not more than 50 ppm and a 325-mesh oversize fraction is substantially zero.