  We discuss the formulation of classical field theoretical models on
$n$-dimensional noncommutative space-time defined by a generic associative star
product. A simple procedure for deriving conservation laws is presented and
applied to field theories in noncommutative space-time to obtain local
conservation laws (for the electric charge and for the energy-momentum tensor
of free fields) and more generally an energy-momentum balance equation for
interacting fields. For free field models an analogy with the damped harmonic
oscillator in classical mechanics is pointed out, which allows us to get a
physical understanding for the obtained conservation laws. To conclude, the
formulation of field theories on curved noncommutative space is addressed.
