  Preliminary results obtained by the CDF and D0 Collaborations on the Standard
Model Higgs searches at the Tevatron Run II are discussed. The data that
correspond to an integrated luminosity of > 150/pb are compared to theoretical
expectations. Various final states involving the W and Z bosons production are
examined, and new limits are set on the sigma[W(->enu/munu)H(->bb)] and
sigma[H(->WW(*))] cross sections.
