The invention discloses an EVA (ethylene-vinyl acetate) elastomer sheath material for wind power generation torsion-resistant flexible cables and a preparation method thereof. The EVA elastomer sheath material for wind power generation torsion-resistant flexible cables comprises the following components in parts by weight: 60-70 parts of EVA, 30-40 parts of CPE (chlorinated polyethylene), 20-25 parts of acetylene smoke, 10-15 parts of modified nano SiO2, 30-50 parts of talcum powder, 5-10 parts of antimony pentoxide, 1-2 parts of polytrimethyldihydroquinoline, 10-15 parts of dicyclohexyl phthalate, 2-3 parts of lead stearate, 3-5 parts of disalt-base lead phthalate, 1-2 parts of vinyltriethoxysilane and 6-8 parts of DCP (dicumyl peroxide). The sheath material disclosed by the invention has the advantages of excellent physical and mechanical properties, favorable high/low temperature resistance, favorable oil resistance, favorable solvent resistance, favorable wear resistance, favorable ozone resistance, favorable aging resistance, favorable flame retardancy, low smoke, high flexibility, torsion resistance and the like, is very durable, environment-friendly and pollution-free, and can completely satisfy the requirements for wind power generation flexible cables.