  We present improved point-source catalogs for the 2 Ms Chandra Deep
Field-North (CDF-N) and the 250 ks Extended Chandra Deep Field-South (E-CDF-S),
implementing a number of recent improvements in Chandra source-cataloging
methodology. For the CDF-N/E-CDF-S, we provide a main catalog that contains
683/1003 X-ray sources detected with wavdetect at a false-positive probability
threshold of $10^{-5}$ that also satisfy a binomial-probability
source-selection criterion of $P<0.004$/$P<0.002$. Such an approach maximizes
the number of reliable sources detected: a total of 196/275 main-catalog
sources are new compared to the Alexander et al. (2003) CDF-N/Lehmer et al.
(2005) E-CDF-S main catalogs. We also provide CDF-N/E-CDF-S supplementary
catalogs that consist of 72/56 sources detected at the same wavdetect threshold
and having $P$ of $0.004-0.1$/$0.002-0.1$ and $K_s\le22.9/K_s\le22.3$ mag
counterparts. For all $\approx1800$ CDF-N and E-CDF-S sources, including the
$\approx500$ newly detected ones (these being generally fainter and more
obscured), we determine X-ray source positions utilizing centroid and
matched-filter techniques; we also provide multiwavelength identifications,
apparent magnitudes of counterparts, spectroscopic and/or photometric
redshifts, basic source classifications, and estimates of observed AGN and
galaxy source densities around respective field centers. Simulations show that
both the CDF-N and E-CDF-S main catalogs are highly reliable and reasonably
complete. Background and sensitivity analyses indicate that the on-axis mean
flux limits reached represent a factor of $\approx1.5-2.0$ improvement over the
previous CDF-N and E-CDF-S limits. We make our data products publicly
available.

Astrophysics of Galaxies;Cosmology and Nongalactic Astrophysics;High Energy Astrophysical Phenomena