  We discuss the comsological evolution of a brane in the $D(>6)$-dimensional
black brane spacetime in the context of the Kaluza-Klein (KK) braneworld
scheme, i.e., to consider KK compactification on the brane. The bulk spacetime
is composed of two copies of a patch of $D$-dimensional black three-brane
solution. The near-horizon geometry is given by $AdS_{5}\times S^{(D-5)}$ while
in the asymptotic infinity the spacetime approaches $D$-dimensional Minkowski.
We consider the brane motion from the near-horizon region toward the spatial
infinity, which induces cosmology on the brane. As is expected, in the early
times, namely when the brane is located in the near-horizon region, the
effective cosmology on the brane coincides with that in the second
Randall-Sundrum (RS II) model. Then, the brane cosmology starts to deviate from
the RS type one since the dynamics of KK compactified dimensions becomes
significant. We find that the brane Universe cannot reach the asymptotic
infinity, irrespectively of the components of matter on the brane.
