The invention discloses a natural rubber-butadiene styrene rubber composition material and a preparation method and application thereof. The natural rubber-butadiene styrene rubber composition material comprises, by weight, 86-94 parts of natural rubber, 6-14 parts of butadiene styrene rubber, 4-10 parts of activator A, 0.5-2 parts of activator B, 3-6 parts of antiager, 2-4.7 parts of protection wax, 1-3 parts of tackifier, 1-2 parts of polyethylene glycol, 1.8-2.5 parts of silane coupling agent, 1-3 parts of amide lubricant, 30-45 parts of carbon black, 8-15 parts of white carbon black, 1.8-2.5 parts of vulcanizing agent, 0.1-0.4 part of promoter A and 1.2-2.5 parts of promoter B. A torsion beam bush obtained by using the material is excellent in resistance to impact fatigue and tear fatigue, gentle in fatigue heat generation and easy in heat radiation and is high in fatigue endurance and long in service life in extreme working conditions. The preparation method is simple in step, convenient to operate and suitable for industrial production.