We present the survey design , data reduction , construction of images , and source catalog of the Atacama Large Millimeter/submillimeter Array ( ALMA ) twenty-six arcmin ^ { 2 } survey of GOODS-S at one-millimeter ( ASAGAO ) . ASAGAO is a deep ( 1 \sigma \sim 61 \mu Jy beam ^ { -1 } for a 250 k \lambda -tapered map with a synthesized beam size of 0 \farcs 51 \times 0 \farcs 45 ) and wide area ( 26 arcmin ^ { 2 } ) survey on a contiguous field at 1.2 mm . By combining with ALMA archival data in the GOODS-South field , we obtained a deeper map in the same region ( 1 \sigma \sim 30 \mu Jy beam ^ { -1 } for a deep region with a 250 k \lambda -taper , and a synthesized beam size of 0 \farcs 59 \times 0 \farcs 53 ) , providing the largest sample of sources ( 25 sources at \geq 5.0 \sigma , 45 sources at \geq 4.5 \sigma ) among ALMA blank-field surveys to date . The number counts shows that 52 ^ { +11 } _ { -8 } % of the extragalactic background light at 1.2 mm is resolved into discrete sources at S _ { 1.2 mm } > 135 \mu Jy . We create infrared ( IR ) luminosity functions ( LFs ) in the redshift range of z = 1–3 from the ASAGAO sources with K _ { S } -band counterparts , and constrain the faintest luminosity of the LF at 2.0 < z < 3.0 . The LFs are consistent with previous results based on other ALMA and SCUBA-2 observations , which suggest a positive luminosity evolution and negative density evolution with increasing redshift . We find that obscured star-formation of sources with IR luminosities of \log { ( L _ { IR } / L _ { \odot } ) } \gtrsim 11.8 account for \approx 60 % –90 % of the z \sim 2 cosmic star-formation rate density .