Fuel-cell stack is laminated with a number of cells, and the latest stack is assembled by pressure from both ends. When this structure is exposed to external vibration, it is probably that lateral structural collapse or leak of fuel gas occur. For this reason, the purpose of this research is understanding vibration characteristics of fuel-cell stack. At first, natural frequencies and natural modes of spent small-size fuel-cell stack (1kW type) are acquired by experimental modal analysis. Next, the finite element model of small-size stack is constructed and model parameter is determined so that analytical natural frequency correspond with experimental value. Finally large-size stack(10kW type) FEmodel is constructed by scaling the small-size stack model, and modal parameters of large-size stack are predicted.