  We study the path integral solution of a system of particle moving in certain
class of PT symmetric non-Hermitian and non-central potential. The Hamil-
tonian of the system is converted to a separable Hamiltonian of Liouville type
in parabolic coordinates and is further mapped into a Hamiltonian corresponding
to two 2-dimensional simple harmonic oscillators (SHOs). Thus the explicit
Green's functions for a general non-central PT symmetric non hermitian
potential are cal- culated in terms of that of 2d SHOs. The entire spectrum for
this three dimensional system is shown to be always real leading to the fact
that the system remains in unbroken PT phase all the time.
