Higgs searches with the DELPHI detector

Preliminary results for the search for the Higgs boson(s) are presented in the framework of the standard model (SM) and the minimal supersymmetric standard model (MSSM). The results from the year 2000 running are presented, and show no sign of a Higgs signal. Lower limits on the Higgs boson mass(es) are obtained using the data from the entire LEP-II running period (2001), which in a few cases are updates of what was shown at the conference. (5 refs).