  We compute the SUSY effective hamiltonian that describes the |\Delta S|=1
semileptonic decays of tau leptons. We provide analytical expressions for
supersymmetric contribution to tau --> u bar{s} nu_{tau} transition in mass
insertion approximation. We show that SUSY contributions may enhance the CP
asymmetry of tau --> K pi nu_{tau} decays by several orders of magnitude than
the standard model expectations. However, the resulting asymmetry is still well
below the current experimental limits obtained by CLEO collaborations. We
emphasize that measuring CP rate asymmetry in this decay larger than 10^{-6}
would be a clear evidence of physics beyond the supersymmetric extensions of
the standard model.
