  This paper describes the Leray spectral sequence associated to a differential
fibration. The differential fibration is described by base and total
differential graded algebras. The cohomology used is noncommutative
differential sheaf cohomology. For this purpose, a sheaf over an algebra is a
left module with zero curvature covariant derivative. As a special case, we can
recover the Serre spectral sequence for a noncommutative fibration.
