We have determined m(W) = 79.91 +-0.39 GeV/(c**2) from an analysis of W --> e nu and W --> mu nu data from the CDF detector in p anti-p collisions at s**(1/2) = 1.8 TeV. This result, together with the world average Z mass, determines the weak mixing angle to be sin**2 theta(W) = 0.232 +- 0.008. Bounds on the top quark mass are discussed.