Based on the beam element theory of finite particle method, a 7000 t floating crane is selected for analysis. Considering the initial deformation caused by the gravity, the load-displacement curve of the crane in particular working condition is calculated and analyzed, and the geometric nonlinear process are tracked to obtain the ultimate load and instability state. The accuracy of this new method is verified by comparing the analysis results of the Matlab program with APDL, which provides a reference for the stability design of the crane in practical engineering.