Abstract: Based on the analysis of the static property of rigid shell of Anhui University Gymnasium,and from the working mechanism of beam string structure,the composition of cable-strut-supported shell structure is discussed and the characters of cable-strut-supported shell structure are analyzed.Inverse analysis method of construction process is extended on the ground of the definite status of structures.The optimization analysis of construction process of the cable-strut-supported shell structure is carried out with the inverse analysis method.Analysis result shows that whole cable-strut-supported shell structure is much better than partial structure.For the structures with large prestress,prestress should be applied by multiple steps,and the quantity of every step should be lowered to minimize the inner force and deformation,and to lower the difficulty of construction.The construction process should be finished slowly.