This study aims to promote the diffusion of green technological innovation，and mitigate the dual pressures of energy shortages and environmental degradation on socio-economic development. We categorized the diffusion of green technological innovation into two stages： diffusion among cluster enterprises and diffusion of green innovation products among market consumers，based on the interactive relationship between innovation subjects and demand subjects. Given the heterogeneity of the diffusion network，a three-stage game model for diffusion of green technological innovation under heterogeneous supply-demand network environments was constructed，consisting of game players，evolutionary rules，and network structures. A representative case study was chosen for numerical simulation analysis. The research showed that government incentives for dissemination of green technological innovation among cluster enterprises and adoption of green products by consumers are notably affected by the cluster's organizational structure and the number of green innovative enterprises，respectively. Furthermore，the impact of these incentives diminishes as their scale increases，reflecting the principle of diminishing marginal returns. Compared to peripheral enterprises，core enterprises are more heavily influenced by the cluster's green innovation organizational structure when deciding to adopt green technology，and they demonstrate greater sensitivity to government subsidies and the maturity of green technology. Market demand for green products follows the principle of price competition，meaning that lowering prices can stimulate their adoption. Furthermore，technological maturity and environmental benefits of green products are key factors influencing their adoption. The stability of the green technology dissemination process is affected by the network structure of the dissemination group. Lowering research and development costs or product prices can effectively enhance this stability. The research findings have identified stable conditions favorable to the diffusion of green technological innovation and defined optimal government subsidy boundaries under specific conditions，and they will provide theoretical and practical guidance for enhancing diffusion efficiency.