We consider the stabilization of the shallow shell by boundary feedbacks where the model has a middle surface of any shape. First, we put the shallow shell model in a suitable semigroup scheme. The existence, the uniqueness, and the properties of solutions to the shallow shell are then treated by the semigroup approach and the regularity of elliptic boundary value problems. Finally, we establish the uniform energy decay rate for the shallow shell under some checkable geometric conditions on the middle surface.