  In N=1 supergravity supersymmetric (SUSY) and non-supersymmetric Minkowski
vacua originating in the hidden sector can be degenerate. In the supersymmetric
phase in flat Minkowski space non-perturbative supersymmetry breakdown may take
place in the observable sector, inducing a non-zero and positive vacuum energy
density. Assuming that such a supersymmetric phase and the phase in which we
live are degenerate, we estimate the value of the cosmological constant. We
argue that the observed value of the dark energy density can be reproduced in
the Split-SUSY scenario of the supersymmetry breaking if the SUSY breaking
scale is of order of 10^{10} GeV.
