We report the identification of an unusual absorption-line system in the quasar SDSS J080248.18 + 551328.9 and present a detailed study of the system, incorporating follow-up optical and near-IR spectroscopy. A few tens of absorption lines are detected, including He i*, Fe ii*, and Ni ii*, which arise from metastable or excited levels, as well as resonant lines in Mg i, Mg ii, Fe ii, Mn ii, and Ca ii. All of the isolated absorption lines show the same profile of width Δv ∼ 1500 km s −1 centered at a common redshift as that of the quasar emission lines, such as [O ii], [S ii], and hydrogen Paschen and Balmer series. With narrow Balmer lines, strong optical Fe ii multiplets, and weak [O iii] doublets, its emission-line spectrum is typical for that of a narrow-line Seyfert 1 galaxy (NLS1). We have derived reliable measurements of the gas-phase column densities of the absorbing ions/levels. Photoionization modeling indicates that the absorber has a density of n H ∼ (1.0-2.5) × 10 5 cm −3 and a column density of N H ∼ (1.0-3.2) × 10 21 cm −2 and is located at R ∼ 100-250 pc from the central supermassive black hole. The location of the absorber, the symmetric profile of the absorption lines, and the coincidence of the absorptionand emission-line centroid jointly suggest that the absorption gas originates from the host galaxy and is plausibly accelerated by stellar processes, such as stellar winds and/or supernova explosions. The implications for the detection of such a peculiar absorption-line system in an NLS1 are discussed in the context of coevolution between supermassive black hole growth and host galaxy buildup.