A polypropylene resin composition comprising 40 to 80% of a polypropylene component (A) comprising a copolymer of propylene with ethylene and/or a C4-12 α-olefin, or a homopolymer of propylene, and 20 to 60% of a copolymer component (B) containing copolymer (B-1) and copolymer (B-2), wherein both (B-1) and (B-2) are copolymers of propylene with ethylene and/or a C4-12 α-olefin, in (B-1) the amount of units derived from propylene is more than 50% to 85%, and in (B-2) the amount of units derived from propylene is 15 to 50%, the molecular weight distribution is 3.0 or less, and blockness is 1.3 or less; in which composition the amount of (B-2) is 3% or more, and the ratio of the limiting viscosity of (B-1) to the viscosity of (A). is 1.5 or less, and the ratio of the limiting viscosity of (B-1) to the viscosity of (B-2) is 0.8 or more.