A symmetry-constrained diffusion model (SCDM) has been introduced to generate 2D materials that adhere to symmetry principles.The model incorporates Wyckoff positions and space group symmetries to ensure the diversity and quality of generated structures.Through DFT calculations, 843 energetically stable materials were identified out of 2,000 candidate structures.Six selected candidates were further analyzed for stability, including phonon band structure and electronic properties evaluations.