  We calculate the total flux of Hawking radiation from Kerr-(anti)de Sitter
black holes by using gravitational anomaly method developed in gr-qc/0502074.
We consider the general Kerr-(anti)de Sitter black holes in arbitrary $D$
dimensions with the maximal number [D/2] of independent rotating parameters. We
find that the physics near the horizon can be described by an infinite
collection of $(1+1)$-dimensional quantum fields coupled to a set of gauge
fields with charges proportional to the azimuthal angular momentums $m_i$. With
the requirement of anomaly cancellation and regularity at the horizon, the
Hawking radiation is determined.
