Elasto- hydrodynamic lubrication of finite porous self-lubricating journal bearings is investigated taking into account the rheological lubricant behavior effect. The modified Reynolds equation is derived by considering both the fluid flow in the porous matrix and the lubricant rheological behavior. Darcy's law and power- law model were used in this mathematical modeling. Governing differential equations were solved numerically using the finite difference method. Obtained results showed that the power law index, n, has important effects on the performance of porous and non-porous journal bearings. An improvement in the fluid bearing characteristics (load capacity, pressure) is observed for dilatant fluids compared to Newtonian fluids. The permeability of the porous structure has significant effects on the performance of porous journal bearings of finite length, particularly at higher eccentricity ratios. Good agreement is observed between the results obtained in this study and those of literature revue.