A room temperature curable organopolysiloxane composition comprising (A) an organopolysiloxane of HO(SiR¹₂O)_nH and/or (R²O)_3-mR¹_mSiO(SiOR¹₂O)_nSiR¹_m(OR²)_3-m wherein R¹ is a monovalent C1-10 hydrocarbon radical, R² is a monovalent C1-6 hydrocarbon radical, n is an integer of at least 10, and m is 0 or 1, (B) a silane compound having at least two hydrolyzable radicals, the remaining radicals being methyl, ethyl, propyl, vinyl or phenyl, and/or a partial hydrolyzate thereof, and (C) an organosilicon compound of (RO)_pR¹_3-pSiR³—NH—R⁴—NH₂ wherein R¹ and R² are as defined above, R³ is a divalent C1-10 hydrocarbon radical, R⁴ is a divalent aromatic ring-bearing C7-10 hydrocarbon radical, and p is 1, 2 or 3, at least one of the NH and NH₂ radicals being not directly attached to the aromatic ring in R⁴, cures into silicone rubber which has improved adherence even upon exposure to hot steam.