  These final results from DELPHI searches for the Standard Model (SM) Higgs
boson, together with benchmark scans of the Minimal Supersymmetric Standard
Model (MSSM) neutral Higgs bosons, used data taken at centre-of-mass energies
between 200 and 209 GeV with a total integrated luminosity of 224 pb^-1. The
data from 192 to 202 GeV are reanalysed with improved b-tagging for MSSM final
states decaying to four b-quarks. The 95% confidence level lower mass bound on
the Standard Model Higgs boson is 114.1 GeV/c2. Limits are also given on the
lightest scalar and pseudo-scalar Higgs bosons of the MSSM.
