  In this paper, the tunneling of vector boson particles across the event
horizon of Kerr-Newman-de Sitter (KNdS) black hole is investigated using the
WKB approximation and Hamilton-Jacobi ansatz to Proca equation. The tunneling
probability and radiation spectrum at the event horizon of KNdS black hole is
obtained. The modified Hawking radiation of stationary and non-stationary KNdS
black hole are also investigated using the Rarita-Schwinger ansatz to the
deformed Hamilton-Jacobi method and new tortoise coordinate transformation. It
is observed that the modified Hawking temperatures near the event horizon for
both stationary and nonstationary space times are dependent on the black hole
parameters.
