  The stability of squashed Kaluza-Klein black holes is studied. The squashed
Kaluza-Klein black hole looks like five dimensional black hole in the vicinity
of horizon and four dimensional Minkowski spacetime with a circle at infinity.
In this sense, squashed Kaluza-Klein black holes can be regarded as black holes
in the Kaluza-Klein spacetimes. Using the symmetry of squashed Kaluza-Klein
black holes, $SU(2)\times U(1)\simeq U(2)$, we obtain master equations for a
part of the metric perturbations relevant to the stability. The analysis based
on the master equations gives a strong evidence for the stability of squashed
Kaluza-Klein black holes. Hence, the squashed Kaluza-Klein black holes deserve
to be taken seriously as realistic black holes in the Kaluza-Klein spacetime.
