  We study soft SUSY breaking parameters in the Nelson-Strassler type of
models: SUSY standard models coupled with SCFTs. In this type of models, soft
SUSY breaking parameters including sfermion masses can be suppressed around the
decoupling scale of SCFTs. We clarify the condition to derive exponential
suppression of sfermion masses within the framework of pure SCFTs. Such
behavior is favorable for degeneracy of sfermion masses. However, the realistic
sfermion masses are not quite degenerate due to the gauge couplings and the
gaugino masses in the SM sector. We show the sfermion mass spectrum obtained in
such models. The aspect of suppression for the soft SUSY breaking parameters is
also demonstrated in an explicit model. We also give a mechanism generating the
$\mu$-term of the Electro-Weak scale by a singlet field coupled with the SCFT.
