Non-Hermitian systems provide a rich playground to explore novel many-body phenomena not present in Hermitian settings. However, directly constructing interacting non-Hermitian models that exhibit unique features remains challenging. In this talk, we introduce a new method to systematically construct non-Hermitian many-body Hamiltonians by generalizing the parent Hamiltonian approach to non-Hermitian regimes. Applying this method, we construct a non-Hermitian spin-1 model which preserves both chiral order and symmetry-protected topological order. Our approach opens up new avenues to design non-Hermitian many-body systems and study their properties. In addition, we present a precise definition of quantum phases for non-Hermitian systems and propose a new class of phases dubbed composite quantum phases. We demonstrate the existence of these phases in our spin-1 model and show their robustness. Our work establishes a framework to explore quantum phases and phenomena in interacting non-Hermitian systems. \newline [1] Ruohan Shen, Yuchen Guo, Shuo Yang, Construction of Non-Hermitian Parent Hamiltonian from Matrix Product States, Phys. Rev. Lett. 130, 220401 (2023). \newline [2] Yuchen Guo, Ruohan Shen, Shuo Yang, Composite Quantum Phases in Non-Hermitian Systems, arXiv:2304.04588.