  In this paper, we show the flux of Hawking radiation in a
Pleba\'nski-Demia\'nski black hole from the point of view of gauge and
gravitational anomalies. We will use the consistent anomaly method to guarantee
that our results are valid in the de Sitter space. This is because we are
including the cosmological constant into our parameters and the covariant
anomaly method gives a wrong value for the Hawking temperature. We also show
that these calculations are a general result. In order to verify the
consistence of our results, we can reproduce earlier known results as certain
limiting cases.
