Higgs Searches at LEP and at the Tevatron

After years of efforts to push the LEP performance to, and indeed beyond, the limits of what had been believed possible, hints of signal of a Higgs boson at 115GeV/c2 appeared in June 2000, were confirmed in September, and confirmed again in November. Spending an additional six-month period with LEP would have given the unambiguous opportunity of a fundamental discovery. Instead, this possibilty was handed over to the Tevatron, for which at least si more years will be needed to confirm the existence of a Higgs boson around 115GeV/c2. The upgrades performed at LEP and needed at the Tevatron, together with the physics outcomes, are briefly mentioned in turn.