This paper studies the static and global dynamic bifurcations for shrouded blade of cylindrical panel. Using Donnell’s nonlinear shallow-shell theory, the non-linear equation of vibration is obtained and is discretized by Galerkin method, in which frictions between shrouds, damping and geometric nonlinearity are taken into account. The averaging method is applied to study the system, and averaged equation and bifurcation equation are obtained. Using singularity theory, the transition set and bifurcation diagrams are presented. By studying global behaviors of averaged equation, the conditions of different bifurcations are obtained, which reveal the changing process and dynamic characteristics of the periodic solutions of averaged system. The study on the bifurcation characteristics for shrouded blade of cylindrical panel can therefore provide a theoretical basis for the optimal dynamic design of blades.