Nowadays, the weight of steel pipelines restricts the development process of deep-water oil and gas. Using spiral carbon fiber reinforced rod instead of the steel armored layer in the umbilical can effectively solve the contradiction between carrying capacity and self-weight of the umbilical cable in the deep-water oil and gas development process. In this paper, using anisotropic carbon fiber materials, the stiffness matrix of the spiral carbon fiber reinforced rod under the tension-torsion coupled load is deduced through mathematical analysis and finite element calculation. It is found that the results of various stiffness coefficients obtained by mathematical analysis are closed to the finite element calculation. In addition, the integral form of carbon fiber reinforced umbilical is determined preliminarily, and the overall mechanical properties of umbilical are carried out. It is found that carbon fiber reinforced spiral rod in umbilical could have good mechanical properties with less weight.