We consider supersymmetry breaking models with a purely constant
superpotential in supergravity. The supersymmetry breaking is induced for the
vanishing cosmological constant. As a hidden mediation sector of supersymmetry
breaking, it naturally leads to a split spectrum in supersymmetric standard
model. We also point out possible utility of our setup to construct nonlinear
sigma model and/or Fayet-Iliopoulos-like term in broken supergravity.Comment: 6 page