  We obtain new five-dimensional supersymmetric rotating multi-Kaluza-Klein
black hole solutions with the Godel parameter in the Einstein-Maxwell system
with a Chern-Simons term. These solutions have no closed timelike curve outside
the black hole horizons. At the infinity, the space-time is effectively
four-dimensional. Each horizon admits various lens space topologies
L(n;1)=S^3/Z_n in addition to a round S^3. The space-time can have outer
ergoregions disjointed from the black hole horizons, as well as inner
ergoregions attached to each horizon. We discuss the rich structures of
ergoregions.
