\\ Title: Can a light Higgs boson explain the recent BNL measurement of the muon anomalous magnetic moment ? Authors: Athanasios Dedes, Howard E. Haber Comments: 11 pages, 1 Postscript figure, uses JHEP.sty \\ A light CP-even Higgs boson with m_h \sim 10 GeV could explain the recent BNL measurement of the muon g-2 anomalous magnetic moment, in the framework of a general two-Higgs-doublet extension of the Standard Model. However, the allowed Higgs mass window is quite small and the corresponding model parameters are very constrained. The Higgs sector can contribute significantly to the observed BNL result of g-2 only if the hZZ coupling (approximately) vanishes and M_{\Upsilon}<= m_h <= 2 m_B. \\