We present new estimates of the luminosity function (LF) and star formation rate density (SFRD) for an H -selected sample at z ∼ 0.62 from the Deep And Wide Narrow-band (DAWN) survey. Our results are based on a new H sample in the extended COSMOS region (compared to Coughlin et al.) with the inclusion of flanking fields, resulting in a total area coverage of ∼1.5 deg2. A total of 241 H emitters were selected based on robust selection criteria using spectrophotometric redshifts and broadband color-color classification. Given that dust extinction is a dominant uncertainty in the estimation of LF and SFRD, we explore the effect of different dust-correction prescriptions by calculating the LF and SFRD using a constant dust extinction correction, AH = 1 mag, a luminosity-dependent correction, and a stellar-mass-dependent correction. The resulting H LFs are well fitted using Schechter functions with best-fit parameters: L* = 1042.24 erg s−1, φ* = 10−2.85 Mpc−3, = −1.62 for constant dust correction, L erg s−1, φ* = 10−2.8 Mpc−3, = −1.39 for luminosity-dependent dust correction, and L* = 1042.36 erg s−1, φ* = 10−2.91 Mpc−3, = −1.48, for stellar-mass-dependent dust correction. The deep and wide nature of the DAWN survey effectively samples H emitters over a wide range of luminosities, thereby providing better constraints on both the faint and bright ends of the LF. Also, the SFRD estimates SFR = 10−1.39 M yr−1 Mpc−3 (constant dust correction), SFR = 10−1.47 M yr−1 Mpc−3 (luminosity-dependent dust correction), and SFR = 10−1.46 M yr−1 Mpc−3 (stellar-mass-dependent dust correction) are in good agreement with the evolution of SFRD across redshifts (0 < z < 2) seen from previous H surveys.