A finite-element approach is used to simulate the free vibration of submerged cantilever plates. The method explicitly models an acoustic fluid with pressure as the basic fluid unknown. Only standard capabilities of structural analysis computer codes such as NASTRAN are required for implementation. The computations performed take into account liquid free surface and partial submergence effects. The numerical results obtained compare favorably with experimentally measured frequencies of vibrating plates. Modeling requirements are discussed. Application areas include the vibration in water of rudders, propeller blades, and other ship appendages.