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The hydroelastic vibration analysis of clamped rectangular plates both vertically and horizontally submerged in fluid is studied by isogeometric FE/BE approach in this paper. By adopting the linear hydroelasticity theory, the computational procedure of the fluid-structure interaction problem is divided into two parts.In the first part, dynamic analysis of the structure in vacuo conditions and in the absence of external forces is carried out by NURBS-based isogeometric finite element method (IGAFEM). Then, in the second part, it is assumed that fluid is inviscid, incompressible and irrotational, and fluid forces directly correspond to inertial effects of the structure. Thus, displacements of the elastic structure due to modal vibrations are in same phase with the acceleration of the fluid particles, and fluid forces on the freely vibrating structure are obtained by NURBS-based isogeometric boundary element method (IGABEM). In order to verify the accuracy of the present methodology, a convergence study is carried out with the available numerical and experimental data providing the generalized added mass coefficients, and the effects of the thickness and aspect ratio are also investigated. It is found that the numerical results are in good agreement