Disclosed is a method for the continuous production of a polyethylene material having high strength and high modulus of elasticity by rolling an ultra-high-molecular-weight polyethylene film or film like material and then drawing the rolled material, wherein a thermoplastic resin film having incorporated therein at least one additive selected from the group consisting of a coloring agent, a weathering stabilizer, an antistatic agent, a hydrophilicity-imparting agent, an adhesion promoter and a dyeability-imparting agent is laminated to the film material in the rolling step and the resulting polyethylene material is further slit or split as required. This method makes it easy to color the polyethylene material having high strength and high modulus of elasticity and to impart weather resistance and other desirable properties thereto.