In order to study the interface failure mechanism of rubber cord composites laid at symmetrical angles, a representative volume element was established by the finite element method to simulate the stress distribution of the rubber cord composites at the mesoscopic level, and the energy-based Power-law criterion was used to simulate the damage evolution.The damage evolution of the cord/rubber interface shows that the interface damage is caused by contact shear stress and contact pressure. The initial interface stiffness is an important bonding interface parameter that affects the interface damage evolution, and the initial stiffness is positively correlated with the interface damage evolution variable. The increase in the included angle of the cord will cause the torque on the cord to increase, resulting in aggravated interface failure.