We present the 2.12~$mu$m narrow-band image of the Hubble Deep Field North taken with the near-infrared camera (CISCO) on the Subaru telescope. Among five targets whose H$alpha$ or [O~{sc iii}] emission lines are redshifted into our narrow-band range expected from their spectroscopic redshift, four of them have strong emission lines, especially for the two [O~{sc iii}] emission-line objects. The remaining one target shows no H$alpha$ emission in spite of its bright rest-UV luminosity, indicating that this object is already under the post-starburst phase. The volume-averaged $SFR$ derived from the detected two H$alpha$ emission is roughly consistent with that evaluated from the rest-UV continuum.