Report of the Higgs working group for the Workshop `Physics at TeV Colliders, Les Houches, France, 21 May - 1 June 2001. It contains 7 separate sections: A. Theoretical Developments B. Higgs Searches at the Tevatron C. Experimental Observation of an invisible Higgs Boson at LHC D. Search for the Standard Model Higgs Boson using Vector Boson Fusion at the LHC E. Study of the MSSM channel $A/H to tau tau$ at the LHC F. Searching for Higgs Bosons in $tbar t H$ Production G. Studies of Charged Higgs Boson Signals for the Tevatron and the LHC