  We report the first measurement of target single spin asymmetries of charged
kaons produced in semi-inclusive deep inelastic scattering of electrons off a
transversely polarized $^3{\rm{He}}$ target. Both the Collins and Sivers
moments, which are related to the nucleon transversity and Sivers
distributions, respectively, are extracted over the kinematic range of
0.1$<$$x_{bj}$$<$0.4 for $K^{+}$ and $K^{-}$ production. While the Collins and
Sivers moments for $K^{+}$ are consistent with zero within the experimental
uncertainties, both moments for $K^{-}$ favor negative values. The Sivers
moments are compared to the theoretical prediction from a phenomenological fit
to the world data. While the $K^{+}$ Sivers moments are consistent with the
prediction, the $K^{-}$ results differ from the prediction at the 2-sigma
level.
