Abstract: n this paper, the combination of hybrid numerical method(HNM) and reduced-basis method (RBM) is suggested to more effectivelyanalyze the transient displacement response in composite laminated plates.The large eigenvalue problem in wavenumber domain is projected onto areduced basis space constructed by the truncated eigenvectors from thesample set. The numerical examples demonstrate the efficiency and accuracyof the presented method, which also can be extended to effectively solveother structural dynamic problems.