  We give the supersymmetric extension of exceptional field theory for
E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime
subject to a covariant constraint. The fermions are tensors under the local
Lorentz group ${\rm SO}(1,3)\times {\rm SU}(8)$ and transform as scalar
densities under the E$_{7(7)}$ (internal) generalized diffeomorphisms. The
supersymmetry transformations are manifestly covariant under these symmetries
and close, in particular, into the generalized diffeomorphisms of the
56-dimensional space. We give the fermionic field equations and prove
supersymmetric invariance. We establish the consistency of these results with
the recently constructed generalized geometric formulation of $D=11$
supergravity.
