  In this paper, we investigated the Pauli equation in a two-dimensional
noncommutative phase-space by considering a constant magnetic field
perpendicular to the plane. We mapped the noncommutative problem to the
equivalent commutative one through a set of two-dimensional Bopp-shift
transformation. The energy spectrum and the wave function of the
two-dimensional noncommutative Pauli equation are found, where the problem in
question has been mapped to the Landau problem. Further, within the classical
limit, we have derived the noncommutative semi-classical partition function of
the two-dimensional Pauli system of one-particle and N-particle systems.
Consequently, we have studied its thermodynamic properties, i.e. the Helmholtz
free energy, mean energy, specific heat and entropy in noncommutative and
commutative phase-spaces. The impact of the phase-space noncommutativity on the
Pauli system is successfully examined.
