  We present an exact analytic class of solutions for a system of two membranes
in eleven-dimensional supergravity. One brane in the system is completely
localized along the overall and relative transverse coordinates while the other
brane in the system is localized only along the overall transverse coordinates.
The membrane configuration preserves four supersymmetries. Moreover we find
some approximate solutions for the system of two membranes with a Bianchi space
as the overall transverse space to both membranes. All supergravity solutions
preserve 1/8 of the supersymmetry. Upon dimensional reduction, the solutions
provide intersecting configurations of three D-branes in type IIA supergravity.
