The paper discusses the vibro-acoustic behaviour of a recently proposed novel anisotropic cellular foam geometry derived from the basic symmetric Kelvin cell geometry. The associated equivalent elastic material properties are estimated based on a recently developed inversion method, in terms of the 21 elastic constants of the Hooke's tensor. The dynamic behaviour of the cellular material configuration and its homogeneous model by applying the equivalent material properties are studied under arbitrary excitation. The correlation between the vibro-acoustic behaviour, foam density, and material anisotropy is studied based on finite element simulations. High correlations of eigenfrequency and eigenmode shapes between the target cellular foam model and the equivalent solid model are found. A set of empirical relations are proposed, linking the micro-structure in low to high relative density for the anisotropic cellular geometries investigated. Potential applications in vibro-acoustic of the proposed anisotropic foam are discussed