  The capability of NuSTAR to detect polarization in the Compton scattering
regime (>50 keV) has been investigated. The NuSTAR mission, flown on June 2012
a Low Earth Orbit (LEO), provides a unique possibility to confirm the findings
of INTEGRAL on the polarization of cosmic sources in the hard X-rays. Each of
the two focal plane detectors are high resolution pixellated CZT arrays,
sensitive in the energy range ~ 3 - 80 keV. These units have intrinsic
polarization capabilities when the proper information on the double events is
transmitted on ground. In this case it will be possible to detect polarization
from bright sources on timescales of the order of 10^5s
