Dust particles may exist in various space plasma environments such as the Saturn’s rings and they carry mostly negative charges that may depend on both the dust particles and the ambient plasma properties. The charge-to-mass ratios of typical dust grains are generally much smaller than the ordinary ions and electrons and thus form a distinct component in the magnetized plasma. In this study, the effects of dusty particles on the propagation of hydromagnetic waves are examined; in particular, the plasmas under consideration comprise the electrons, ions as well as dusty ions and their dynamics are described by the multi-component hydromagnetic equations. We discuss two different models for dusty plasma systems: immobile dust Hall MHD model and mobile dust Hall MHD model. Using these models, we examine the properties of linear hydromagnetic waves, such as the dispersion relation, the density-magnetic field correlation and the wave polarization etc.