  In this paper, we extend the result of [Andreas Fring et al J. Phys. A 43,
345401 (2010)] in noncommutative phase-space (NCPS). We compute the
non-Hermitian Hamiltonian of a harmonic oscillator in NCPS. We construct a new
P T-symmetry in noncommutative phase-space and prove that the system does not
possess a broken P T-regime. We then compute the eigenvalue spectrum of the
non-Hermitian Hamiltonian of the system.
