The CDF and D0 experiments at the Tevatron have used p anti-p collisions at s**(1/2) = 1.96 TeV to perform electroweak physics measurements. A program of precision electroweak tests of SM already started. Measurements performed are: W and Z bosons production cross section using different leptonic final states, dielectron Forward-Backward Asymmetry A_FB and di-boson cross section production. We also report the prospects for the W mass measurements.