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We report on an observation of the broad absorption line (BAL) quasar PG 1115+ 080 performed with the XMM-Newton observatory. Spectral analysis reveals the second case of a relativistic X-ray–absorbing outflow in a BAL quasar. The first case was revealed in a recent observation of APM 08279+ 5255 with the Chandra X-Ray Observatory. As in the case of APM 08279+ 5255, the observed flux of PG 1115+ 080 is greatly magnified by gravitational lensing. The relatively high redshift (z= 1.72) of the quasar places the redshifted energies of resonant absorption features in a sensitive portion of the XMM-Newton spectral response. The spectrum indicates the presence of complex low-energy absorption in the 0.2–0.6 keV observed energy band and high-energy absorption in the 2–5 keV observed energy band. The high-energy absorption is best modeled by two Gaussian absorption lines with rest-frame energies of …