Based on the vibration theory of the turbine blade, the first seven orders of tangential bending natural frequency of vibration for the blade were calculated in the laboratory using the theory method and finite element method, then compared. The simulation analysis of the vibration mode of the blade and interlocked joint for the turbine shrouded blade group were carried out under different rotational speeds using the finite element method. The analysis results were obtained and compared, considering the dynamic stiffening effect. For the blade group, at the top of which the shrouds were not connected, the shroud contact issue was solved by constructing a spring modal and using the finite element method. The results were a true reflection of shroud collision and blade vibration during operation of the turbine.