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We present deep galaxy counts and half-light radii from F160W($\lambda_c=1.6\mu$) images obtained with NICMOS on HST. Nearly 9 arcmin$^2$have been imaged with camera 3, with $3\sigma$ depths ranging from H = 24.3 to25.5 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$\leq 24.75$ is $4 \times10^5$ galaxies per square degree. The half-light radii of the galaxies declinessteeply with apparent magnitude. At H~$=24$ we are limited by both thedelivered FWHM and the detection threshold of the images.Comment: 8 pages. Accepted for publication in ApJ Letter

Deep [ITAL]H[/ITAL]-Band Galaxy Counts and Half-Light Radii from [ITAL]Hubble Space Telescope[/ITAL]/NICMOS Parallel Observations