The study presents the vibroacoustic behavior of an aluminium-facing fibre-reinforced composite (FRC) core sandwich panel. A numerical technique based on finite element (FE) is used to obtain structural and vibroacoustic responses. Free and forced responses are calculated to verify the present FE model. A harmonic analysis is carried out by applying a time-varying point load on the face of the sandwich panel and calculating the sound power level (SPL) in the acoustic domain. A comparative study is performed between the multilayer sandwich panel and a single-layer aluminium panel under two different constraints. From the result, it is observed that under equal volume constraint, the SPL is reduced across all the modes of vibration by replacing the isotropic aluminium panel with an FRC core sandwich panel. Similarly, under equal mass constraints, the SPL response is further reduced across all the modes and at lower frequency zones compared to previous results. This indicates the enhanced vibroacoustic behavior of the multilayer damped sandwich panel over the single-layer panel.