  The Ashtekar-Renteln Ansatz gives the self-dual solutions to the Einstein
equation. A direct generalization of the Ashtekar-Renteln An\-satz to N=1
supergravity is given both in the canonical and in the covariant formulation
and a geometrical property of the solutions is pointed out. (Changes: the
covariant formulation and some comments about a wave function has been added)
