  We present the third data release of JADES, the JWST Advanced Deep
Extragalactic Survey, providing both imaging and spectroscopy in the two GOODS
fields. Spectroscopy consists of medium-depth and deep NIRSpec/MSA spectra of
4,000 targets, covering the spectral range 0.6-5.3 $\mu$m and observed with
both the low-dispersion prism (R=30-300) and all three medium-resolution
gratings (R=500-1,500). We describe the observations, data reduction, sample
selection, and target allocation. We measured 2,375 redshifts (2,053 from
multiple emission lines); our targets span the range from z=0.5 up to z=13,
including 404 at z>5. The data release includes 2-d and 1-d fully reduced
spectra, with slit-loss corrections and background subtraction optimized for
point sources. We also provide redshifts and S/N>5 emission-line flux catalogs
for the prism and grating spectra, and concise guidelines on how to use these
data products. Alongside spectroscopy, we are also publishing fully calibrated
NIRCam imaging, which enables studying the JADES sample with the combined power
of imaging and spectroscopy. Together, these data provide the largest
statistical sample to date to characterize the properties of galaxy populations
in the first billion years after the Big Bang.
