The search for tt associated Higgs production in CMS

The top quark and the Higgs boson are the two most massive elementary - and are they really so? - particles discovered so far. Understanding the relation between the two particles is of fundamental importance in order to investigate the Yukawa structure of the Standard Model (SM) lagrangian, to better constrain the theory using current data, and to probe for new physic appearing indirectly in loops or directly in events with top quark and Higgs in the final state. The CMS collaboration performed several searches for associated top-antitop-Higgs production that probe a multitude of combinations of both the top-antitop system final state, and of Higgs boson decays. The analyses are quickly approaching the sensitivity to the predicted Standard Model cross section for this extremely interesting process.