With the completion and run of the Three Gorges Project, the change of hydrological conditions for wharf operation and enlargement of ships in Chongqing put forward higher requirements to mooring facilities attached to the pontoon for the sloping wharf. In order to ensure the safety of the port and eliminate security risks of existing mooring facilities attached to the pontoon, we propose a calculation method for the force on mooring facilities attached to the pontoon for the sloping wharf considering the elasticity and geometric characteristics of catenary for the anchor chain and rope, the impact of the part lying in the river bed or bank slope and multiple anchor chains and ropes working together in different directions. Programming calculation based on the practical project using Matlab proves that the calculation result is in accord with the empirical rules and Optimoor, thus it verifies the practicality and reliability of the method.