To improve anti-flexing properties, impact strength and anti-blocking properties by incorporating a specific amount of cold xylene-soluble portion into two kinds of ethylene/α-olefin polymers.

One of the ethylene/α-olefin polymer which constitutes 60-95 wt.% of the composition, comprises 3-12C α-olefin units and has a melt flow rate(MFR) of 0.1-50 g/10 min, a density of 0.905-0.940 g/cm3, a coefficient of variation in percentage composition (Cx) of not more than 0.5 and a cold xylene- soluble portion content a (wt.%) which satisfies the relationship to the density d (g/cm3) represented by the equation, provided that Cx=σ/SCBave, wherein σis a standard deviation of the percentage composition and SCBave is an average of the short chain branching per 1,000C (1/1,000C). The other polymer, forming 40-5 wt.% of the composition, has an MFR of 0.1-50 g/10 min, a density of not less than 0.870 g/cm3 and less than 0.905 g/cm3. And the cold xylene- soluble portion contained is 1.5-30 wt.%.