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Polarized reflection spectra from the (001), (201) and (110) faces of anthracene single crystals have been measured ($6500\backslash AA-1820\backslash AA$), and the corresponding absorption spectra have been obtained through Kramers-Kronig analyses. The a-axis and b-axis spectra are essentially in quantitative agreement with the direct absorption measurements of Lyons and Morris.$\mathrm{<mrow\; data-mjx-texclass="ORD">1</mrow>}$ The derived absorption spectrum for radiation polarized along the intersection of the ac plane and the (201) face shows a very strong band at $40,000cm-1(ϵmax\sim 125,000)$. Since this band is presumably derived from the intense long axis polarized molecular transition at about the same energy, our results suggest that the theoretical arguments which predict this band shifted into the vacuum ultraviolet in the crystal cannot be correct.