This paper addresses the modeling and stabilization of a rigid and flexible airship with a suspended load in the XGZ plane. Efficient flexible airship models, incorporating elastic deformation, rigid body motions, and their coupling, are developed using Lagrangian theory. The dynamic models in the XGZ plane for two systems—rigid airship with suspended load (first part) and flexible airship with suspended load (second part)—are established. A backstepping control approach is proposed for stabilization. Comparative analysis between the rigid and flexible models with suspended loads highlights the impact of structural flexibility on dynamics and control. Finally, simulation results demonstrate the effectiveness and advantages of the proposed control for the flexible airship with suspended load.