Résumé
We discuss a recent implementation of the two-loop radiative corrections to the Higgs boson masses in three public codes for the calculation of the Minimal Supersymmetric Standard Model. We illustrate the residual theoretical and experimental uncertainties, and phenomenological consequences in representative MSSM scenarios. We discuss, in particular, the resulting most conservative upper bounds on the lighter Higgs boson mass in the general or constrained MSSM upon different assumptions.