A polypropylene composition containing:(A) 10-95 parts by weight of a crystalline polypropylene,(B) 5-90 parts by weight of an ethylene-propylene copolymer rubber,(C) 1-30 parts by weight, per 100 parts by weight of the mixture of said crystalline polypropylene and ethylene-propylene copolymer rubber, of a hydroxyl group-containing propylene oligomer, andoptionally an inorganic filler in an amount of up to 40 parts by weight per 100 parts by weight of the mixture of said crystalline polypropylene and ethylene-propylene copolymer rubber and a suitable amount of an additive or auxiliary, has an improved compatibility with paint-coatings, and the shaped article formed from said composition can easily be paint-coated by simply treating it with water or an organic solvent instead of laying a primer layer onto the article before applying a paint thereon.