An addition cure silicone rubber adhesive composition comprising (A) an organopolysiloxane, (B) an inorganic filler, (C) an alkoxysilane, (D) a hydrolytic catalyst selected from titanium, zirconium and aluminum compounds, (E) an organohydrogenpolysiloxane, (F) a cure regulator, and (G) a platinum compound is prepared by mixing components (A), (B), (C) and (D), in the absence of component (G), at 0-200° C. and a reduced pressure to form a premix, and thereafter, adding component (G) and the remaining components to the premix and mixing at 0-60° C. and a reduced pressure.