The invention provides an ethylene-.alpha.-olefin copolymer which is superior in extrusion molding processability. The present invention is to provide a copolymer of ethylene and .alpha.-olefin of from 4 to 20 carbon atoms, having melt flow rate of from 1 to 100 g/10 min, an activation energy for melt flow of 60 kJ/mol or more, melt tension at 190.degree. C. (MT), intrinsic viscosity ([.eta.]) and a chain length A which satisfy the formula (1) to (3), wherein the chain length A is a chain length at peak position of a logarithm normal distribution curve of a component having the highest molecular weight among logarithm normal distribution curves obtained by dividing a chain length distribution curve obtained by gel permeation chromatography measurement into at least two logarithm normal distribution curves.

 
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