Many turbulent flows of practical interest involve solid walls which introduce significant anisotropy into the flow structure. This paper investigates the use of the Eddy Interaction Model to predict the transport of heavy particles in homogeneous shear flow. Most previous work with the EIM has focused on isotropic turbulence. In this case, we consider particle transport in a flow which involves a single mean velocity gradient, and the associated anisotropy of the Reynolds stress components. The EIM results are generally in close agreement with the dispersion rates obtained in the LES study of Yeh and Lei (1991). The particle fluctuating velocity characteristics are similar to those obtained in the DNS study of Taulbee et al. (1997) for the same strain rate.