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We have obtained the metric operator $\Theta=\exp T$ for the non-HermitianHamiltonian model $H=\omega(a^{\dag}a+1/2)+\alpha(a^{2}-a^{\dag^{2}})$. We havealso found the intertwining operator which connects the Hamiltonian to theadjoint of its pseudo-supersymmetric partner Hamiltonian for the model ofhyperbolic Rosen-Morse II potential.

Metric Operator For The Non-Hermitian Hamiltonian Model and Pseudo-Supersymmetry