Presented here are 21-cm (1.42GHz) observations of neutral hydrogen emission from the core of our Galaxy made over a period of several years with the 140-foot telescope of the National Radio Astronomy Observatory. The survey covers the region 348 < l < 10, -10 < b < 10 with an angular resolution of 21' and a grid spacing of 0.5 degrees in both l and b, and the velocity range |v| < 310 km/s with a kinematic resolution of 5.5 km/s. The sensitivity of the data generally corresponds to an antenna-temperature rms level of 0.02 K or better. The H I spectra from the survey are archived in a single three-dimensional (v, l, b) data cube in FITS image format. There are 224 velocity channels with a step of 2.75 km/s between channels. The intensities are given in units of antenna temperature and can be converted to brightness temperature units by multiplying by a factor of (1.52).