  Top quark decays before hadronization and its information transfer to final
products. The top quark decays via the weak interaction, hence the azimuthal
polarized decay rate is zero in the leading order of SM. Therefore the study of
top quark could be taken into consideration as useful tools to search for new
physics. In this paper, we calculate the decay of polarized top quark in the
framework of the noncommutative standard model. We investigate the contribution
of noncommutative space-time on the azimuthal polarized decay rate and spin
analyzing power. Also we depict the energy spectrum for the charged lepton and
the variation of the total differential decay rate with respect to the
azimuthal angle which receive some correction in noncommutative space-time.
