We present the first data release from the Keck Infrared Transient Survey (KITS), a NASA Key Strategic Mission Support program to obtain near-infrared (NIR) spectra of astrophysical transients of all types. This data release consists of 105 NIR spectra of 50 transients. As we are entering a new era of infrared astronomy with the James Webb Space Telescope (JWST) and the upcoming Nancy Grace Roman Space Telescope (Roman), KITS provides a large, publicly available sample of IR spectroscopy for a wide range of transients. These data will be essential to search JWST images for stellar explosions of the first stars and to plan an effective Roman SN Ia cosmology survey, both key science objectives for mission success. The first data release represents the first semester, which is one third of the full survey. We systematically observed three samples: a flux-limited sample that includes all transients brighter than 17~mag in a red optical band (usually ZTF r or ATLAS o bands); a volume-limited sample including all transients within redshift z < 0.01; and an SN Ia sample targeting objects at phases and light-curve parameters that had scant existing NIR data in the literature. Please see the accompanying paper where we describe our observing procedures and data reduction using an automated pipeline pypeit with minimal human interaction to ensure reproducibility. In this dataset, we provide telluric-corrected spectra of the transient in CSV format. We also provide one-dimensional extracted spectra of transients and telluric standard stars in FITS format from pypeit. Users can use these intermediate data products to redo telluric correction if desired.