The Kondo effect in a repulsively interacting electron system (Tomonag
a-Luttinger liquid) is studied. By using the poor man's scaling method
it is shown that the Kondo coupling in this model flows to the strong
-coupling regime not only for the antiferromagnetic but also for the f
erromagnetic case. The ground state is governed by stable strong-coupl
ing fixed points where the impurity spin is completely screened; the f
ixed-point Hamiltonian consists of two semi-infinite Tomonaga-Luttinge
r liquids and a spin singlet. Specific heat, susceptibility, and condu
ctance are calculated for low temperatures.