A film for stretch packaging comprising as a substrate a film of a linear low density polyethylene having a melt flow rate (190.degree. C.), as measured by an ASTM-D-1238E method, of 0.3 to 8 g/10 min., a density, as measured by an ASTM-D-1505 method, of 0.900 to 0.918 g/cm.sup.3, a molecular weight distribution (Mw/Mn) of 2 to 6, two or more melting points existing as measured by a differential scanning calorimeter, a maximum melting point Tm.sub.1 of 118.degree. to 125.degree. C. and a ratio of the height Tm.sub.1 H of the peak of the highest melting point Tm.sub.1 to the height Tm.sub.1 H of the melting point Tm.sub.2 adjacent thereto (i.e., Tm.sub.1 H/Tm.sub.2 H), of 1.3 or less.