Predictions for Higgs and SUSY Higgs properties and their signatures at the Hadron Colliders

In this talk I present a discussion of the theoretical bounds on the mass of the Higgs in the Standard Model (SM) as well as in the Minimal Supersymmetric Standard Model (MSSM). Then I will point out a few facts about the couplings of scalars that are relevant for its search at hadronic colliders. After that I discuss the search possibilities at the Tevatron and the LHC, paying special attention to the issue of how well one can establish the quantum numbers and the couplings of the Higgs, when (if) it is discovered.