Using the three-dimensional, multi-particle, ordered model of composite (a crystal model), we describe rheological properties of electro-rheological fluids (ERhF). According to the model, disperse particles of solid phase are placed at cites of a grid, the symmetry of which is specified. Hydrodynamic pair interaction is taken into consideration in the framework of the theory of lubrication when this theory is expanded for the cases of moderate and small values of concentration of solid phase. Forces of electrostatic interactions of particles that are polarized by external electric field are taken into account for the case when nearest neighbor particles are regarded; at that, the terms of third order are taken into account. We obtain a dependence of rheological properties of ERhF on micro-structural characteristics, electrical and rheological properties of components, as well as on the strength of an external electric field. We consider the problem in the approximation of small gradients of displacements. We show that behavior of ERhF under this approximation may be described by the theory of viscous elasticity. The rheological relationships proposed are of interest because they are obtained as a result of successive and complete consideration of electrostatic component of rheological effect.