The application of augmented reality (AR) technology in the assembly process of small cabins is currently a development trend. However, in the assembly guidance of the cabin cable network, the flexible characteristics of the cables make it a significant challenge for registration, and current technology makes it difficult to accurately overlay virtual cables into real scenarios. To address these issues, this article proposes an AR-oriented precise registration method for cabin cables. Firstly, precise registration of the model is achieved through coarse registration to determine the initial pose and subsequent pose correction. Subsequently, by analyzing the composition of flexible cables, the precise registration of cables is achieved through the assembly relationship between the cabin model and the flexible cables and the transformation of coordinate systems. Through this strategy, we have successfully achieved precise stacking of virtual, flexible cables in real scenarios. Finally, an experimental verification was conducted using a small missile cabin cable registration as a case study, and this method achieved accurate cable registration with a registration error of within 1.5 mm.