We consider the specialization to spatially homogenous solutions of th
e Jacobson formulation of N = 1 canonical supergravity in terms of Ash
tekar's new variables. We find that the classical Poisson algebra of t
he supersymmetry constraints is preserved by this specialization only
for Bianchi type A models. The quantization of supersymmetric Bianchi
type A models is carried out in the triad representation. We find the
physical states of this quantum theory. Since we are missing a suitabl
e inner product on these physical states, our results are only formal.