Aiming at the problem of computational redundancy and communication burden in model predictive control of indoor thermal environment, an integral-type event-triggered control strategy is proposed. Firstly, a simplified building resistant-capacitance (RC) thermal network model is established based on the equivalent circuit method, considering the influence of the temperature of adjacent hot areas, and the accuracy of the model is verified. Then an integral-type event-triggered mechanism (ITETM) based on state error was proposed. On this basis, an integral-type event-triggered model predictive control (MPC) method based on RC thermal network is proposed. Finally, the performance of the proposed control method is verified by the co-simulation experiment of EnergyPlus and MATLAB. The results show that the proposed control strategy can effectively reduce the calculation and information transmission times of the optimization problem, and reduce the energy consumption of the building while ensuring the indoor temperature comfort.