This paper summarizes recent Higgs searches in ppbar collisions at
sqrt s = 1.8 TeV from the Tevatron using Run I data.  Emphasis is given to a
new result from the CDF Collaboration in searching for neutral minimal SUSY
Higgs bosons through the four jet reaction ppbar -> bb-bar varphi -> bb-bar
bb-bar.  Both the CDF and D0 experiments have also searched for standard model
as well as other non-standard Higgs signatures in the mass region below
approximately 140 GeV/c^2 with no evidence of new physics.