The formation of current through a short molecular wire is determined not only by jumps of separate transferring electrons between the sites of electron localization within the wire, but the effect of Coulomb repulsion of the electrons must be accounted for as well. This repulsion blocks the appearance of an additional transferring electron in the wire if the win already contains the transferring electron at an arbitrary wire unit. The Coulomb inhibition effect results in a strong nonlinearity of both, the inelastic inter-electrode current-voltage characteristics and current-temperature characteristics. Among the characteristic novel features are the saturation of the current at high voltage bias and its suppression at both, low and high temperatures.