Abstract: In order to reduce the vibration of the thin shell structure and make it lightweight, topology dynamics optimization of the damping shells was studied. Firstly, an optimization model for the constrained damping shell was established, which took modal loss factor as optimization objective, the relative density of damping element as topological variable, the amount of damping material and the natural frequency of the structure as constraints. Then, the variable density optimization method and the Lagrange multiplier method were adopted to solve the model, while a SIMP material interpolation model was employed to punish the topological variables so as to make them converge to 0 and 1. Moreover, both the sensitivity calculation formula of the optimization objective to the topology variable and the optimization iteration formula of the topology variable were derived. Finally, the dynamic optimization of constrained thin-walled shell was realized by programming. When the amount of damping material was controlled to 40%, 50% or 60%, the optimized shape and laying position of damping layer of thin-walled shell was roughly the same. The results showed that the optimization method could not only significantly increase the modal loss factor, but also significantly reduced the modal amplitude of the damping shell on the premise of keeping the natural frequency of the damping shell unchanged.