  We study a Newtonian cosmological model in the context of a noncommutative
space. It is shown that the trajectories of a test particle undergo
modifications such that it no longer satisfies the cosmological principle. For
the case of a positive cosmological constant, spiral trajectories are obtained
and corrections to the Hubble constant appear. It is also shown that, in the
limit of a strong noncommutative parameter, the model is closely related to a
particle in a G\"odel-type metric.
