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We report detections of two 1.2 mm continuum sources ($S_\mathrm{1.2mm}$ ~0.6 mJy) without any counterparts in the deep $H$- and/or $K$-band image (i.e.,$K$-band magnitude $\gtrsim$ 26 mag). These near-infrared-dark faint millimetersources are uncovered by ASAGAO, a deep and wide-field ($\simeq$ 26 arcmin$^2$)Atacama Large Millimeter/submillimeter Array (ALMA) 1.2 mm survey. One has ared IRAC (3.6 and 4.5 $\mu$m) counterpart, and the other has been independentlydetected at 850 and 870 $\mu$m using SCUBA2 and ALMA Band 7, respectively.Their optical to radio spectral energy distributions indicate that they can lieat $z \gtrsim$ 3-5 and can be in the early phase of massive galaxy formation.Their contribution to the cosmic star formation rate density is estimated to be~ 1 $\times$ 10$^{-3}$ $M_\odot$ yr$^{-1}$ Mpc$^{-3}$ if they lie somewhere inthe redshift range of $z$ ~ 3-5. This value can be consistent with, or greaterthan that of bright submillimeter galaxies ($S_\mathrm{870\mu m}>$ 4.2 mJy) at$z$ ~ 3-5. We also uncover 3 more candidates near-infrared-dark faint ALMAsources without any counterparts ($S_\mathrm{1.2mm}$ ~ 0.45-0.86 mJy). Theseresults show that an unbiased ALMA survey can reveal the dust-obscured starformation activities, which were missed in previous deep optical/near-infraredsurveys.

ALMA twenty-six arcmin$^2$ survey of GOODS-S at one-millimeter (ASAGAO): Near-infrared-dark faint ALMA sources