The main purpose of morphology analysis is to find out the geometric configuration of the chord-supported dome in the zero state and the initial strain value required for calculation. Based on the different parameters in zero state, the problems of shape analysis are divided into three categories: force finding, form finding, force finding + form finding. These three types of problems basically cover all possible morphological analysis problems in the structure of chord-supported domes. Based on the more mature numerical analysis theory, the paper deduces the formula of force finding and form finding, and successfully solves the force finding + form finding problem through the combination of force finding and form finding. Finally, the calculation flow of solving these three problems is given. According to the calculation process, the force-finding and force-finding + form-finding analyses were carried out respectively for the same structural model. The results show that the internal forces derived from the initial strain applied in the zero state are quite different from those in the initial state after internal force redistribution, so the force-finding analysis of the chord-supported dome structure is necessary. There is little difference between the element cutting length of the structure in zero state after shape finding and that of the structure in known geometry configuration, but there is a big difference between the coordinate values of some nodes in the two states. It is suggested that the structure can be cut directly according to the known geometry configuration during construction, but the lofting installation should be carried out according to the calculation results after shape finding.