After five years of running at centre-of-mass energies close to the Z 0 resonance, the energy of the e +e − collider LEP has been raised in successive steps to 172 GeV. This increase in energy opens a new kinematic domain for particle searches. We describe the searches for Higgs bosons performed by the four LEP experiments, ALEPH, DELPHI, L3 and OPAL, using the data collected at the upgraded energies. The prospects for Higgs searches at LEP2 in the forthcoming years are also discussed.