  The construction of the three-dimensional Chern-Simons supergravity theory
invariant under the minimal Maxwell superalgebra is presented. We obtain a
supergravity action without cosmological constant term characterized by three
coupling constants. We also show that the Maxwell supergravity presented here
appears as a vanishing cosmological constant limit of a minimal AdS-Lorentz
supergravity. The flat limit is applied at the level of the superalgebra,
Chern-Simons action, supersymmetry transformation laws and field equations.
