  In the present letter we indicate an extension of the pure gravity inverse
scattering integration technique to the case when fermions (introduced on the
base of supersymmetry) are present. In this way the integrability technique for
simple ($N=1$) supergravity in two space-time dimensions coupled to the matter
fields taking values in the Lie algebra of $E_{8\left( +8\right) }$ group is
developed. This theory contains matter living only in one Weyl representation
of $SO\left( 16\right) $ and represents the reduction to two dimensions of the
three-dimensional simple supergravity constructed in [1].
  Our spectral linear problem use superspace and covers the complete set of
principal bosonic and fermionic equations of motion. This linear system, as in
pure gravity, contains only the first order poles with respect to the spectral
parameter. The procedure of constructing the exact super-solitonic solutions is
outlined.
