  Three dimensional G\"{o}del black hole is a solution to
Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We
have studied the hidden conformal symmetry for massive scalar field without any
additional condition in the background of three dimensional non-extremal and
extremal G\"{o}del black holes. This conformal symmetry is uncovered by the
observation that the radial wave equations in both cases can all be rewritten
in the form of $SL(2, R)$ Casimir operators through introducing two sets of
conformal coordinates to write the $SL(2, R)$ generators. At last, we give the
holographic dual descriptions of Bekenstein-Hawking entropies of non-extremal
and extremal black holes from Cardy formula of conformal field theory.
