Collaborative energy management is a critical issue in integrated energy system (IES). Aiming at the problem, a novel finite time double consistency algorithm is proposed to solve the energy management problem of IES. By implementing this algorithm, the energy equipment units only need to perform local communication and local calculation, effectively solving the nonlinear coupling optimization problem in the system. Moreover, the algorithm enables the completion of optimal economic dispatch quickly in a finite time. The algorithm utilizes double consistency iteration of the incremental cost price and the estimated value of equipment output to effectively coordinate the relationship among energy equipment outputs. On this basis, an effective combined event trigger mechanism is designed by introducing measurement error, which enables energy equipment to communicate only when necessary, thereby avoiding the need for continuous information exchange. The proposed algorithm considers non-ideal communication environments such as communication delay and disturbance. To address these issues, the consistency theory and the model reduction theory are combined to provide a sufficient condition for the system's stability. Finally, the convergence and stability of the algorithm are verified using the Lyapunov method, and simulation experiments confirm the effectiveness of the designed algorithm.