I will summarize the status of the Higgs boson in the Standard Model and its supersymmetric extension with a focus on Higgs production at hadron colliders and the associated theoretical uncertainties. In particular, I will address (and question) the exclusion limits that have been recently set on its mass at the Tevatron. The prospects for Higgs production at the lHC (with 7 TeV c.m. energy and 1/fb data) will be summarized.