  Recent results on the production of $W$ and $Z$ gauge bosons in $p\bar{p}$
collisions at $\sqrt{s}=1.8$~TeV at the Fermilab Tevatron Collider from the \D0
and CDF experiments are reviewed. Measurements of the inclusive cross sections
times leptonic branching ratios in both the electron and muon decay channels
are summarized and compared to QCD predictions. Using the ratio $R = {\sigma_W
\cdot B(W\rightarrow l\nu)}/ {\sigma_Z \cdot B(Z\rightarrow ll)}$ and assuming
standard model couplings, an indirect determination of the W decay width is
obtained. By comparing this measured value with the predicted value for the $W$
width, a limit on the deviation from the standard model is obtained.
