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In order to address the transmission delay and information redundancy and resource waste caused by continuous information exchange between vehicles during the communication process, a vehicle platoon consistency strategy based on event triggering mechanism is proposed to ensure the stable operation of the vehicle platoon. To this end, a third-order heterogeneous vehicle platoon dynamics model considering car-following interactions and communication delay between vehicles is constructed, and a design method for a consistent vehicle platoon controller based on event triggering is proposed. On this basis, using Lyapunov stability theory and algebraic graph theory, the stability of the vehicle platoon is analyzed, and the event triggering conditions and upper bounds of communication delay that make the vehicle platoon stable are obtained. Simulation experiments are conducted on the MATLAB platform to verify the effectiveness of the proposed vehicle platoon control method.