  In Refs. (M. Atiqur Rahman, M. Ilias Hossain (2012) Phys. Lett. B {\bf 712}
1), we have developed Hamilton-Jacobi method for dynamical spacetime and
discussed Hawking radiation of Schwarzschild-de Sitter black hole by massive
particle tunneling method. In this letter, we have investigated the hawking
purely thermal and nonthermal radiations of Reissner-Nordstr\"{o}m-de Sitter
(RNdS) black hole. We have considered energy and angular momentum as conserved
and shown 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 results we have obtained for RNdS black hole is also
in accordance with Parikh and Wilczek\rq s opinion and recovered the new result
for Hawking radiation of RNdS black hole.
