We construct an eleven-dimensional superspace with superspace coordinates and formulate a finite M-theory using non-anticommutative geometry. The conjectured M-theory has the correct eleven-dimensional supergravity low energy limit. We consider the problem of finding a stable finite M-theory which has de Sitter space as a natural ground state, and the problem of eliminating possible future horizons.

11 pages LaTex file. No figures. Minor typos corrected. More typos corrected