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We examine the radiative corrections to the mass of the lightest Higgs bosonin the minimal supersymmetric extension of the standard model. We use therenormalization-group improved effective potential which includes thenext-to-leading-order contributions. We find that, contrary to the result ofEspinosa and Quir\'os, the higher-order corrections to the lightest Higgs bosonmass are non-negligible, adding $3-11$ GeV ($3-9$ GeV) to the result in theleading logarithm approximation for the range of top quark mass $100 {\rm GeV}< m_t < 200 {\rm GeV}$ and for the supersymmetric breaking scale $M_{\rm SUSY}= 1 {\rm TeV}$ ($M_{\rm SUSY} = 10 {\rm TeV}$). Also we find that our result isstable under the change of the renormalization parameter $t$.Comment: 17 pages (2 figures not included

Mass of the lightest supersymmetric Higgs boson beyond the leading logarithm approximation