Regional Integrated Energy System (RIES) provides an inspiring perspective for constructing the future-oriented Energy Internet. However, the integration of heterogeneous energy system increases the complexity of critical power infrastructures, which limits the feasibility of energy management in real practice. To mitigate this issue, we propose an online optimization strategy for RIES with heating, ventilation and air conditioning (HVAC) loads in this paper. Specifically, a stochastic problem is formulated to minimize the economic cost with the consideration of power to gas and combined heat and power techniques. In addition, considering the changes of specific events. i.e., essential load, electricity price, queue length of renewable energy sources (RES) and comfort level of end-users, an event-triggered mechanism is established to enable automatic execution of scheduling signals. Without relying on a priori knowledge, we use the Lyapunov optimization method to control energy queue of HVAC and the system stability in real time. The feasibility of the proposed online energy flow control algorithm has been validated by the theoretical deduction. The numeral simulation based on real-world traces demonstrates that the proposed method maximizes the economic profit by incenting the load transferring during peak period of electricity price and effectively improves the utilization ratio of RES. Moreover, this method can ensure the end-user’s comfort while dramatically reducing the dispatching frequency of HVAC with the event-triggered mechanism.