  Abstract We present the construction of the first-order $D=4$,
$\mathcal{N}=1$ supergravity action by gauging the Maxwell-Weyl superalgebra.
The four-form lagrangian is constructed by using the curvatures of the algebra
and the local scale invariance of the action is achieved through the
introduction of a compensating scalar field. Finally, we find the generalized
Einstein equation with a coordinate dependent cosmological term.
