The development of polar marine oil and gas is the demand for the sustainable development of the world's energy, and the polar low-temperature environment will cause the rubber hose to gradually harden, and the original elasticity will be lost in serious cases, affecting its product performance. Offshore oil hoses are important export equipment for offshore FPSOs to shuttle tankers. The hose is generally a composite structure, which is vulcanized and fused by structural layers of different forms and material characteristics from the inside to the outside. The elastic material parameters of rubber and polyester cord were obtained through uniaxial tensile tests. The overall torsional characteristics of marine oil hoses were analyzed using ABAQUS finite element analysis software. The analysis found that the cord provides the main torsional stiffness of the hose. The temperature and structural parameters of rubber hose significantly influence the torsional stiffness of the hose. The rationality of the finite element analysis is verified, and the relevant research results can provide a reference for pipeline design.