The present invention provides a wrap film or shrink film formed from a resin composition containing [I] a propylene polymer in an amount of 1 to 99 mass %, and [II] an olefin-based polymer in an amount of 99 to 1 mass %, wherein [I] the propylene polymer satisfies the following requirements of: (1) a meso pentad fraction (mmmm) is 0.2 to 0.6, and (2) a racemic pentad fraction (rrrr) and (1-mmmm) satisfy the following relation: [rrrr/(1-mmmm)].ltoreq.0.1. The wrap film or shrink film exhibits excellent characteristics, and does not generate a toxic gas derived from chlorine, such as hydrogen chloride gas or dioxin, when being incinerated.
A propylenic polymer according to the present invention or a composition thereof have an excellent melt flowability and contains a less amount of stickiness-causing components, and also has a low modulus and is pliable, and is capable of providing a transparent molded article, thus being useful as a substitute for a pliable vinyl chloride resin. In addition, a molded article made therefrom exhibits an excellent heat seal performance at a low temperature, and is excellent in terms of transparency and rigidity. Specifically, it has an isotactic pentad fraction (mmmm), which indicates a stereoregulariry, of 30 to 80%, a molecular weight distribution (Mw/Mn) of 3.5 or less and an intrinsic viscosity [.eta.] of 0.8 to 5 dl/g.