Under the “dual-carbon” goal, to further promote the low-carbon economic development in integrated energy systems (IES), a robust optimal dispatch model of hydrogen-integrated energy system considering dynamic green certificate-carbon emission cooperative trading mechanism is constructed. First, based on the supply-demand relationship of tradable market commodities and their prices, dynamic trading supply-demand curves are formulated. A nonlinear price mapping function is introduced to quantify the time-varying conversion coefficients between green certificates and carbon emissions, thereby establishing a dynamic trading mechanism that reflects both reward and penalty characteristics. Second, a bidirectional flexible electro-hydrogen conversion model is developed using reversible solid oxide cells (RSOC), which enables local absorption of surplus renewable energy and enhances system scheduling flexibility. Finally, the source-load uncertainty model is established, and the dynamic green certificate-carbon emission cooperative trading mechanism is introduced into the robust optimal dispatch of hydrogen-integrated energy system considering RSOC and source-load uncertainties. Case study results show that the proposed model not only reduces carbon emissions but also improves system economic performance.