The problem of thermal convection in a Kuvshiniski viscoelastic fluid in a porous medium in the presence of suspended particles is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, a Kuvshiniski fluid behaves like a Newtonian fluid and the medium permeability and the suspended partic1es have destabilizing effects on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The principle of exchange of stabilities is found to be satisfied.