This paper proposes a continuous approach to formulation of a general three-dimensional nonlinear cable model. The model’s assumptions include selected acceptable restrictions regarding its application to various types of civil engineering structures. The model is dedicated to static and dynamic analyses of complex tension structures, particularly the ones subjected to moving loads. In order to demonstrate the versatility and comprehensiveness of the computational model two exemplary cable structures: an aerial bi-cable ropeway and a pipeline suspension bridge are considered. Appropriate modifications of the model are explained. The Ritz-Lagrange method and the Galerkin method, respectively, are used as the relevant discretization schemes. Numerical analyses capture valuable features of the static and dynamic behavior of the investigated structures. In particular, results of simulations highlight the influence of nonlinear effects on the ropeway carrying cable responses due to in-service load. Moreover, it is recognized that natural frequencies of pipeline suspension bridge conveying fluid highly depend on the fluid velocity. The presented results emphasize the qualitative and quantitative efficiency of the cable model in multipurpose applications.