The transmission loss of a normally incident plane wave through dynamically compliant gratings has been extended to multiple layers. The gratings, which consist of various sized simply supported bars that have flexural resonances in the frequency range of interest, are immersed in a fluid layer between two fluid half spaces. By treating the periodic structure as a wave guide, the solution is formulated in terms of series of propagating and evanescent plane waves. For certain cases, generalization to non‐normal incidence is discussed. The transmission loss bands resulting from staggering fundamental resonances of a single element and/or various elements within the gratings are computed. The effects of the properties of the fluid layer, grating interactions, and material constants of the compliant elements are considered. [Work supported by Naval Sea Systems Command.]