Abstract: It is declared that the global geoid with one centimeter-level accuracy is difficult to be realized using Stokes or Molodensky approach.Under the assumption that the density distribution of the shallow mass layer bounded by Ω and a closed reference surface Γ that lies under the geoid G as well as the the global 1°×1° gravitational potential field model is given;an approach for determining the global 1°×1° geoid with centimeter-level accuracy is proposed;and its actual realization procedure is provided.