A polyhedron shell such as a box-type structure is used to cover a noise source and muffle emission noise. However, this structurre vibrates easily and cannot muffle noise completely, since it has low damping qualities. This paper shows that a number of resonance peaks occurring in a polyhedron shell can be suppressed by using a design method of dynamic absorbers to control the vibration of multi-degree-of-freedom systems, and this method will possibly be used to control this type of noise in the future. Four dual dynamic absorbers designed by the experimental method could control the vibration of the structure well. The effectiveness and generality of this method is confirmed by the modal analysis using the finite element method.