  With almost 0.5fb-1 of ppbar-collisions delivered in Tevatron Run II, both
experiments CDF and D0 are reporting first results from a vast number of search
analyses. This article summarizes the current status of Tevatron searches for
Higgs bosons within the Standard Model and its extensions as well as direct
searches for supersymmetric particles. Signatures for production of squarks,
gluinos, charginos and neutralinos as predicted by gravity- and gauge-mediated
SUSY breaking scenarios have been considered. No evidence for Higgs bosons or
SUSY particles has been found so far. New limits are derived which
significantly improve on existing limits.
