The guided shear wave localisation is considered in the problem of reflection and refraction through bi–material stratified elastic reflector perfectly sandwiched between two elastic semi–spaces. Bi-material stratified reflector consists of finite number periodically arranged and perfectly bonded elastic sub-layers. A shear wave incident at the interface of layer from the first semi–space will give rise to a guided wave in reflector, a reflected shear wave in the same semi-space and a refracted shear wave in the second semi–space. It is shown that guided wave amplitude is localized at the neighbourhood of the layer interface adjacent to the incidence elastic semi-space and monotonously attenuates with increasing of cell number, if the frequencies of incident wave are in the stopband ranges.