We review recent issues concerning exclusive Higgs production at the LHC, and related processes at the Tevatron and HERA. In spite of the small predicted cross section the exclusive Higgs production, pp → p +H + p, has the following advantages: (a) The mass of the Higgs boson can be measured with high accuracy (with mass resolution σ(M) ∼ 1 GeV) by measuring the missing mass to the forward outg...