  We investigate effect of position-dependent mass profiles on dynamical
breaking of N-fold supersymmetry in several type B and type X_2 models. We find
that N-fold supersymmetry in rational potentials in the constant-mass
background are steady against the variation of mass profiles. On the other
hand, some physically relevant mass profiles can change the pattern of
dynamical N-fold supersymmetry breaking in trigonometric, hyperbolic, and
exponential potentials of both type B and type X_2. The latter results open the
possibility of detecting experimentally phase transition of N-fold as well as
ordinary supersymmetry at a realistic energy scale.
