The Run II CDF and D0 experiments have measured the inclusive W and Z cross sections with p anti-p collisions at s**(1/2) = 1.96 TeV using leptonic modes: sigma(p anti-p --> Z) x BR(Z --> l+ l-) and sigma(p anti-p --> W) x BR(W --> l nu). These measurements are in good agreement with the NNLO theoretical predictions. The production cross section of several diboson processes: p anti-p --> W_gamma, Z_gamma, WW have been measured using W and Z leptonic modes with electrons and muons, establishing the framework to study the anomalous triple gauge couplings at the Tevatron Run 2.