The Tevatron Collider provides p anti-p collisions at a center of mass energy of s**(1/2) = 1.96 TeV. Over the next few years the Tevatron is the only accelerator which can produce W and Z intermediate vector bosons. Measuring their properties is an important test of the standard model of elementary particles (SM). Significant deviations from SM predictions could indicate the presence of new physics. We present here some recent studies of W and Z properties made by the CDF and D0 Collaborations using data collected during Run II of the Tevatron.