  We attempt the linearization of the nonlinear supersymmetry encoded in the
Einstein-Hilbert-type action {\it superon-graviton model(SGM)} describing the
nonlinear supersymmetric gravitational interaction of Nambu-Goldstone fermion
{\it superon}. We discuss the linearizaton procedure in detail by the heuristic
arguments referring to supergravity, in which particular attentions are paid to
the local Lorentz invariance in the minimal interaction. We show explicitly up
to the leading order that 80(bosons)+80(fermions) may be the minimal off-shell
supermultiplet of the linearized theory.
