The propagation of pressure waves in a two-layered liquid medium (assumed to be compressible) resting on a rigid bottom has been considered. The source of disturbance has been taken to be three-dimensional with spherical symmetry. Similar problems of layered but semi-infinite liquids have been discussed by Pekeris, Press and Ewing (cf Ewing, Jardetzky and Press3)). The problem of generation of Love waves which is akin to these problems is discussed by Sezawa7).