To obtain the most accurate predictions for the Higgs masses in the
minimal supersymmetric model (MSSM), one should compute the full set of
one-loop radiative corrections, resum the large logarithms to all
orders, and add the dominant two-loop effects. A complete
computation following this procedure yields a complex set of formulae
which must be analyzed numerically. We discuss a very simple
approximation scheme which includes the most important terms from
each of the three components mentioned above. We estimate that the
Higgs masses computed using our scheme lie within 2 GeV of their
theoretically predicted values over a very large fraction of MSSM