A review of the predictions on diffractive Higgs cross section at Tevatron and LHC based on proton and pomeron induced models will be presented. A detailed comparison of the models will be given and the differences in the predictions will be discussed. Some insights about the advantage of seeing the Higgs in diffractive events compared to the standard case will also be given. Finally some ideas about some new possible measurements which can be performed at Tevatron Run II starting now, which will help to distinguish between models and to obtain more precise cross sections will be introduced.