  We present the second campaign of the ESO/GOODS program of spectroscopy of
faint galaxies in the GOODS-South field. Objects were selected as candidates
for VLT/FORS2 observations primarily based on the expectation that the
detection and measurement of their spectral features would benefit from the
high throughput and spectral resolution of FORS2. The reliability of the
redshift estimates is assessed using the redshift-magnitude and color-redshift
diagrams and comparing the results with public data. 807 spectra of 652
individua targets have been obtained in service mode with the FORS2
spectrograph at the ESO/VLT, providing 501 redshift determinations. The typical
redshift uncertainty is estimated to be sigma_z ~ 0.001. Galaxies have been
selected adopting three different color criteria and using the photometric
redshifts.The resulting redshift distribution typically spans two redshift
domains: from z=0.5 to 2 and z=3.5 to 6.2. In particular, 94 B435-,V606-,i775
"dropout" Lyman break galaxies have been observed, yielding redshifts for 65
objects in the interval 3.4<z<6.2. Three sources have been serendipitously
discovered in the redshift interval 4.8<z<5.5. Together with the previous
release, 930 sources have now been observed and 724 redshift determinations
have been carried out. The reduced spectra and the derived redshifts are
released to the community through the ESO web page
http://www.eso.org/science/goods/. Large scale structures are clearly detected
at z=0.666, 0.734, 1.096, 1.221, 1.300, and 1.614. A sample of 34 sources with
tilted [OII]3727 emission has been identified, 32 of them in the redshift range
0.9<z<1.5.
