We present deep galaxy counts and half-light radii from F160W (λ_c=1.6 μm) images obtained with the Near-Infrared Camera and Multiobject Spectrograph on the Hubble Space Telescope. Nearly 9 arcmin^2 have been imaged with camera 3, with 3 σ depths ranging from H=24.3 to 25.5 in a 0."6 diameter aperture. The slope of the counts fainter than H = 20 is 0.31, and the integrated surface density to H ≤ 24.75 is 4×10^5 galaxies deg^(-2). The half-light radii of the galaxies decline steeply with apparent magnitude. At H = 24, we are limited by both the delivered FWHM and the detection threshold of the images
