In this study the flexural wave attenuation behaviour in asymmetric periodic beam (APB) with elastic support is studied both numerically and analytically. A comparative investigation of the attenuation behaviour of flexural wave recorded numerically and analytically is presented in this work. The analytical study is based on the Bragg scattering of flexural coupled biaxial wave explored using transfer matrix (TM) method and Bloch theorem for Euler-Bernoulli beam model and numerical study conducted are using frequency response function calculated from 1-D finite element formulation and FEA in Abaqus CAE. The attenuation-band or the band-gap found from the analytical study is based on the attenuation factor found from the eigen value analysis of the TM. The effectiveness of the attenuation is tuned by the conjunction of varying geometry and orientation periodicity along with the elastic support properties. The FEA analysis verifying the analytical results numerically has a decent agreement between the two techniques. This work can be applicable in the attenuation of low frequency flexural wave in civil structures, aerospace structures, naval structures, mechanical devices and other several precision devices with elastic supports where low frequency flexural wave is undesired.