  The aim of this paper is to present a possible framework for incorporating a
superspace formulation of supersymmetry into the formalism of noncommutative
geometry \`a la Alain Connes. In analogy with the almost-commutative (AC)
manifold construction of field theory, a base space is taken to be the
superspace $\mathbb{R}^{3 | 2}$, with associated 2-point (Grassmann valued)
finite space. The data of the spectral triple is explored, including
decorations, i.e. algebra, Hilbert space, grading, real structure, and Dirac
operator. The gauge fields arising from the inner fluctuations of the Dirac
operator are computed. And both the SUSY invariant spectral action and
fermionic actions are calculated.
