Without the Higgs mechanism to break the electroweak symmetry of the standard model of particle physics, the model would not be as successful as it is. As a consequence of the symmetry breaking, a still undiscovered particle, the Higgs boson, is predicted to exist. The mass of the Higgs boson is unknown, but from precision measurements and their interpretation in the standard model, it is expected to be light, within reach of the Tevatron collider at Fermilab, or the LHC at CERN. In this presentation, I will discuss the state of the art of the search for the standard model Higgs boson at the Tevatron, in particular with the D0 detector. I will also briefly look into the future at the expected sensitivity of the Tevatron experiments in the next few years, during the startup period of the LHC.