We theoretically studied the resonant interaction of acoustic phonons with the vibrational mode localized near a superlattice-liquid interface. We calculated the phonon transmission rate and examined the peculiar resonance peak due to the localized mode. The peak value depends on the number of periods (N) of the superlattice, and this resonant feature disappears for large N and also small N. We derived the formula describing the resonance line and discussed the condition for such a resonance to be seen.