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We present the first results of the Hubble Deep Hydrogen Alpha (HDH$\alpha$)project, which analyzes the space-borne deep H$\alpha$ narrowband imaging datain the GOODS-S region. The HDH$\alpha$ data comprises 72 orbits' images takenwith the HST ACS/WFC F658N filter. The exposure time varies across a total areaof $\sim$76.1 $\rm{arcmin}^2$, adding up to a total exposure time of 195.7 ks,among which 68.8 ks are spent in the deepest region. These images are aligned,reprojected, and combined to have the same pixel grid as the Hubble LegacyFields (HLF). The scientific goals of the HDH$\alpha$ include establishing asample of emission-line galaxies (ELGs) including [O III] emitters at $z\sim$0.3, [O II] emitters at $z\sim$ 0.8, and Lyman-$\alpha$ emitters (LAEs) at $z\sim 4.4$, studying the line morphology of ELGs with high resolution imagingdata, and statistically analyzing the line luminosity functions and lineequivalent-width distributions of ELGs selected with HST. Furthermore, theHDH$\alpha$ project enhances the legacy value of the GOODS-S field bycontributing the first HST-based narrowband image to the existing data sets,which includes the HST broadband data and other ancillary data from X-ray toradio taken by other facilities. In this paper, we describe the data reductionprocess of the HDH$\alpha$, select ELGs based on HST's F658N and broadbanddata, validate the redshifts of the selected candidates by cross matching withthe public spectroscopic catalogs in the GOODS-S, and present a final catalogof the confirmed [O III] emitters at $z\sim$ 0.3, [O II] emitters at $z\sim$0.8, and LAEs at $z \sim 4.4$.

The Hubble Deep Hydrogen Alpha (HDH$\alpha$) Project: I. Catalog of Emission-line Galaxies