We present high-resolution Near-Infrared Camera and Multiobject Spectromete
r images of random fields obtained in parallel to other Hubble Space Telesc
ope observations. We present galaxy number counts reaching H-1.6 = 24. The
H-1.6-band galaxy counts show good agreement with the deepest I- and K-band
counts obtained from ground-based data. We present the distribution of gal
axies with morphological type to H-1.6 < 23. We find relatively fewer irreg
ular galaxies compared with an I-band sample from the Hubble Deep Field, wh
ich we attribute to their blue color rather than to morphological K-correct
ions. We conclude that the irregulars are intrinsically faint blue galaxies
at z < 1.