The Jeans instability of homogeneous gaseous Plasma is discussed to investigate the effect of viscosity, rotation, thermalconductivity, electrical-resistivity, electron inertia and role of presence of fine dust particles and magnetic field on the self-gravitational instability. The usual magneto-hydrodynamic (MHD) equations are used for the present configuration with thermal-conductivity and finite dust particles. A general dispersion relation is obtained from the linearized perturbation equations using the normal mode analysis method. It is found that the Jeans criterion of instability is modified due to the presence of various parameters considered in our problem. The stability and instability are discussed for various cases as our interes