The effect of rotation on the onset of convection in compfessible Walters‘ (model B‘) elastico-viscous fluid heated from below saturating a porous medium is considered. For the porous medium, the Brinkman model is employed and Walters‘ (model B‘) fluid used to characterize the viscoelastic fluid. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, compressibility, gravity field and vscoelasticity introduce oscillatory modes. For stationary convection, the rotation has stabilizing effect whereas Darcy number and medium permeability have destabilizing/stabilizing effect on the system under certain conditions. and Obsahuje seznam literatury a názvosloví