A process for producing a polyethylene material for use in products requiring high mechanical strength and high elastic modulus is disclosed. The process involves the use of a specific class of particulate polyethylenes having an intrinsic viscosity of 5-50 dl/g in decalin at 135.degree. C. and the steps of compression molding, solvent immersing, solid-phase extruding or rolling and finally drawing the material in that order.