The Chaotic behavior of the classical trajectories and the level spacing distributions of 2-D Pseudo Hermitian Hamiltonian H =½ (px2 + py2) + ½ (ωx2x2 + ωy2y2) - igxy, whereg is a real parameter are investigated. This Hamiltonian is separable and Lyapunovexponents are obtained analytically. All the trajectories of this system are found to beregular and Hamiltonian is Hermitian when ½(| ωx2 - ωy2|)≥|g| and trajectories become chaotic and Hamiltonian becomes Pseudo Hermitian when ½(| ωx2 - ωy2|) < |g|. The level spacing distributions are obtained for both real and complex eigen energies. It was interesting to find out that level spacing distributions of complex norm of the eigen energies which are corresponding to chaotic motion show Poisson like distribution rather than Gaussian ensamble statistics.