An analysis of the foward-backward asymmetry in Z0 decays using data from the Collider Detector at Fermilab at s**(1/2) = 1.8 TeV yields A(FB) = (5.3+-5.9(stat)+-0.4(sys))% and sin**2 anti-theta(W) = 0.228+0.017-0.015(stat)+-0.002(sys).