The effect of shear on the electrical conductivity of suspensions of conductive graphite particles in a nonconductive unsaturated polyester resin was investigated. At graphite loadings near 30 wt% the electrical conductivity was higher when the suspension was undergoing shear than when shearing stopped. Moreover, shearing caused a large permanent increase in the electrical conductivity of the suspension. When shear was restarted after a period of rest the transient response of the electrical conductivity depended on the direction of previous shear, indicating that the suspension acquires an anisotropic structure under shear. The transition upon shear reversal was strain-dependent. Surprisingly, at graphite loadings near 50 wt% the effect of shear on the electrical conductivity was the opposite of that at loadings near 30 wt%. At intermediate loadings the effect of shear on the electrical conductivity was less clear. The results may have applications in the manufacture of composite bipolar plates for fuel cells and of various other parts made from conductive polymers.