  We present a routinized and reliable method to obtain source catalogs from
the $\textit{Nuclear Spectroscopic Telescope Array}$ ($\textit{NuSTAR}$)
extragalactic surveys of the Extended $\textit{Chandra}$ Deep Field-South
(E-CDF-S) and $\textit{Chandra}$ Deep Field-North (CDF-N). The
$\textit{NuSTAR}$ E-CDF-S survey covers a sky area of $\approx30'\times30'$ to
a maximum depth of $\sim$ 230 ks corrected for vignetting in the 3--24 keV
band, with a total of 58 sources detected in our E-CDF-S catalog; the
$\textit{NuSTAR}$ CDF-N survey covers a sky area of $\approx7'\times10'$ to a
maximum depth of $\sim$ 440 ks corrected for vignetting in the 3--24 keV band,
with a total of 42 sources detected in our CDF-N catalog that is produced for
the first time. We verify the reliability of our two catalogs by crossmatching
them with the relevant catalogs from the $\textit{Chandra}$ X-ray observatory,
and find that the fluxes of our $\textit{NuSTAR}$ sources are generally
consistent with that of their $\textit{Chandra}$ counterparts. Our two catalogs
are produced following the exactly same method and made publicly available,
thereby providing a uniform platform that facilitates further studies involving
these two fields. Our source-detection method provides a systematic approach
for source cataloging in other $\textit{NuSTAR}$ extragalactic surveys.
