  Incorporating Parikh and Wilczek's opinion to the Kerr de-Sitter (KdS) black
hole Hawking non-thermal and purely thermal radiations have been investigated
using Hamilton-Jacobi method. We have taken the background spacetime of KdS
black hole as dynamical, involving the self-gravitation effect of the emitted
particles, energy and angular momentum has been taken as conserved and show
that the tunneling rate is related to the change of Bekenstein-Hawking entropy
and the derived emission spectrum deviates from the pure thermal spectrum. The
explored results gives a correction to the Hawking radiation of KdS black hole.
