  We extend to study Hawking radiation via tunneling in conformal gravity. We
adopt Parikh-Wilczek's semi-classical tunneling method and the method of
complex-path integral to investigate Hawking radiation from new rotating AdS
black holes in conformal gravity. In this paper, the research on Hawking
radiation from the rotating black holes is done in a general system, not
limited in dragging coordinate systems any longer. Moreover, there existed some
shortcomings in the previous derivation of geodesic equations. Different from
the massless case, they used a different approach to derive the geodesic
equation of the massive particles. Even the treatment was inconsistent with the
variation principle of action. To remedy the shortcoming, we improve treatment
to deduce the geodesic equations of massive and massless particles in a unified
and self-consistent way. In addition, we also recover the Hawking temperature
resorting to the complex-path integral method.
