We study CP violation in fermion pair decays of Higgs boson. We idenfy some
CP odd observables related to the tree level decay amplitude. We find that a
few thousand Higgs boson decay events can already provide important information
about CP violation. If the Higgs boson is produced, such an analysis could be
carried out at the SSC, LHC and NLC.Comment: 9 pages, Revtex, UM-P-93/11, OZ-93/