Disclosed is a propylene-based polymer including from 51 to 75% by weight of a propylene-ethylene random copolymer component (A) having an intrinsic viscosity [.eta.].sup.A, measured in tetralin at 135.degree. C., of 5 dl/g or more and an ethylene content of not less than 8% by weight but less than 20% by weight, and from 25 to 49% by weight of a propylene-based polymer component (B) obtained by polymerizing monomers mainly including propylene, the component having an intrinsic viscosity [.eta.].sup.B, measured in tetralin at 135.degree. C., of 1.2 dl/g or less, wherein said amounts of the components (A) and (B) are each based on the combined weight of these components.