  In this work we introduce a cosmological constant in the extended Newtonian
gravity theory. To this end, we extend the exotic Newton-Hooke algebra by
introducing new generators and central charges. The new algebra obtained here
has been denoted as exotic Newtonian algebra and reproduces the extended
Newtonian one in the flat limit $\ell\rightarrow\infty$. A three-dimensional
Chern-Simons action for the exotic Newtonian algebra is presented. We show that
the non-relativistic gravity theory proposed here reproduces the most general
extended Newtonian gravity theory in the flat limit.
