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We describe the NIRSpec component of the JWST Deep Extragalactic Survey(JADES), and provide deep spectroscopy of 253 sources targeted with the NIRSpecmicro-shutter assembly in the Hubble Ultra Deep Field and surroundingGOODS-South. The multi-object spectra presented here are the deepest so farobtained with JWST, amounting to up to 28 hours in the low-dispersion ($R\sim30-300$) prism, and up to 7 hours in each of the three medium-resolution$R\approx 1000$ gratings and one high-dispersion grating, G395H($R\approx2700$). Our low-dispersion and medium-dispersion spectra cover thewavelength range $0.6-5.3\mu$m. We describe the selection of the spectroscopictargets, the strategy for the allocation of targets to micro-shutters, and thedesign of the observations. We present the public release of the reduced 2D and1D spectra, and a description of the reduction and calibration process. Wemeasure spectroscopic redshifts for 178 of the objects targeted extending up to$z=13.2$. We present a catalog of all emission lines detected at $S/N>5$, andour redshift determinations for the targets. Combined with the first JADESNIRCam data release, these public JADES spectroscopic and imaging datasetsprovide a new foundation for discoveries of the infrared universe by theworldwide scientific community.

JADES NIRSpec Initial Data Release for the Hubble Ultra Deep Field:  Redshifts and Line Fluxes of Distant Galaxies from the Deepest JWST Cycle 1  NIRSpec Multi-Object Spectroscopy