We review the techniques and results of the searches for the Higgs boson performed by the two Tevatron collaborations, CDF and DO. The Higgs boson predicted by the Standard Model was sought in the mass range 90 GeV$Comment: Article submitted to the International Journal of Modern Physics A (IJMPA) as one of the seven chapters of the special issue on "Review of Physics at the Tevatron", edited by G. Bernardi. 53 pages, 15 figures, 183 references. v2: Unchanged from v1 but add the report number to the metadata v3: add proofing round 1 comments. v4: final proofing comments
