Searches for Higgs Bosons and Supersymmetry at the Tevatron

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