  We present a novel three-dimensional non-relativistic Chern-Simons
supergravity theory invariant under a Maxwellian extended Bargmann
superalgebra. We first study the non-relativistic limits of the minimal and the
$\mathcal{N}=2$ Maxwell superalgebras. We show that a well-defined Maxwellian
extended Bargmann supergravity requires to construct by hand a supersymmetric
extension of the Maxwellian extended Bargmann algebra by introducing additional
fermionic and bosonic generators. The new non-relativistic supergravity action
presented here contains the extended Bargmann supergravity as a sub-case.
