We present new measurements of the interstellar gas-phase oxygen abundance along the sight lines towards 19 early-type galactic stars at an average distance of 2.6 kpc. We derive O {small I} column densities from {it HST}/STIS observations of the weak 1355 AA intersystem transition. We derive total hydrogen column densities [N(H {small I})+2N(H$_2$)] using {it HST}/STIS observations of lya and {it FUSE} observations of molecular hydrogen. The molecular hydrogen content of these sight lines ranges from f(H$_2$) = 2N(H$_2$)/[N(H {small I})+2N(H$_2$)] = 0.03 to 0.47. The average $<H_{tot}/E_{B-V}>$ of 6.3$times10^{21}$ cm$^{-2}$ mag$^{-1}$ with a standard deviation of 15% is consistent with previous surveys. The mean oxygen abundance along these sight lines, which probe a wide range of galactic environments in the distant ISM, is 10$^6$ oh = $408 pm 13$ (1 $sigma$ in the mean). %$({rm O/H})_{gas} = 408 pm 14$(1 $sigma$). We see no evidence for decreasing gas-phase oxygen abundance with increasing molecular hydrogen fraction and the relative constancy of oh suggests that the component of dust containing the oxygen is not readily destroyed. We estimate that, if 60% of the dust grains are resilient against destruction by shocks, the distant interstellar total oxygen abundance can be reconciliated with the solar value derived from the most recent measurements %by Holweger and by Allende Prieto, Lambert & Asplund: of 10$^6$ oh$_odot$ = 517 $pm$ 58 (1 $sigma$). We note that the smaller oxygen abundances derived for the interstellar gas within 500 pc %by Meyer, Cardelli & Jura or from nearby B star surveys are consistent with a local elemental deficit.
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