Searches for the Higgs boson of the Standard Model and supersymmetric models have been performed by the four LEP experiments in the data collected over almost 12 years (August/1989 until November/2000) at centre-of-mass energies varying from 91.2 GeV to 209 GeV. An excess of candidates for the process e+e<FONT FACE=Symbol>- ®</FONT> Z*<FONT FACE=Symbol>®</FONT> Z0<FONT FACE=Symbol></FONT>H0 was found for Higgs masses near 114 GeV.