We present the first edition of the S DSS H ii -galaxies with O xygen abundances C atalog ( SHOC ) , which is a listing of strong emission-line galaxies ( ELGs ) from the Sloan Digital Sky Survey ( SDSS ) . Oxygen abundances have been obtained with the classic T _ { e } -method . We describe the method exploiting the SDSS database to construct this sample . The selection procedures are described and discussed in detail , as well as some problems encountered in the process of deriving reliable emission line parameters . The method was applied to the SDSS Data Release 1 ( DR1 ) . We present 612 SDSS emission-line galaxies ( 624 separate SDSS targets in total ) , for which the oxygen abundances 12+ \log ( O/H ) have r.m.s . uncertainties \leq 0.20 dex . The subsample of 263 ELGs ( 272 separate SDSS targets ) have an uncertainty \leq 0.10 dex , while 459 ELGs ( 470 separate SDSS targets ) have an uncertainty \leq 0.15 dex . The catalog includes the main parameters of all selected ELGs , the intensities and equivalent widths of hydrogen and oxygen emission lines , as well as oxygen abundances with their uncertainties . The information on the presence of Wolf-Rayet blue and/or red bumps in 109 galaxies is also included . With the use of combined g,r,i SDSS images we performed visual morphological classification of all SHOC galaxies . 461 galaxies ( \sim 75 % ) are classified as confident or probable blue compact galaxies ( BCG/BCG ? ) , 78 as irregular ones , 20 as low surface brightness galaxies ( LSBG ) , 10 as obviously interacting and 43 as spiral galaxies . In creating the catalog , 30 narrow line AGN and 69 LINERs were also identified ; these are also presented apart of the main catalog . We outline briefly the content of the catalog , and the prospects of its use for statistical studies of the star formation and chemical evolution issues . Some of these studies will be presented in the forthcoming paper . Finally , we show that the method presented by ( ) for calculating O ^ { + } /H ^ { + } using intensities of the [ O ii ] \lambda 7320,7330 Å lines for SDSS emission-line spectra in the absence of [ O ii ] \lambda 3727 Å line appears to yield reliable results over a wide range of studied oxygen abundances : 7.10 < 12 + \log ( O/H ) < 8.5 .