A two-dimensional numerical model of tsunami generation and propagation has been established by discretization of the non-linear shallow water long wave equation with the finite difference method.Tsunami waves around Hawaii islands due to Pacific earthquake were reconstructed and simulated.The simulated results show a good agreement with the data observed by tide gauge.After validation

the spectral distribution of the whole computed domain was analyzed with the Fast Fourier Transform on the simulations.Localities with strong amplification and the corresponding peak periods were revealed.The comparison with resonance from the two different directions of tsunamis shows that the resonance patterns are associated with the topographic features and the incident direction of tsunami waves.