  Motivated by the precision attained by SQUID devices in measuring magnetic
fields, we study in this article the thermodynamic behaviour of a fermion gas
in two and three dimen\-sional spatial space with noncommutative coordinates
and momenta. An explicit expression, both for Landau's diamagnetism and Pauli's
paramagnetism, is obtained for the magnetization and magnetic susceptibility of
the gas in two and three spatial dimensions. These results show that an upper
bound for the noncommutative parameter $\theta\lesssim (10 \,\text{Gev})^{-2}$
could be obtained.
