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As an effective way of improving traffic efficiency, vehicle platoon control has attracted extensive interest recently. Communication between vehicles tends to be affected by communication noises. Aimed at improving communication efficiency, an event-triggered vehicle platoon control under random communication noises is studied in this paper. First, for vehicle platoons with linear third-order dynamics, a time-varying consensus gain <inline-formula> <tex-math notation="LaTeX">$c(t)$ </tex-math></inline-formula> is introduced to reduce the effects of the communication noises. Second, with the introduction of the algebraic graph theory and matrix analysis theory, conditions for internal stability and <inline-formula> <tex-math notation="LaTeX">$l_{p}$ </tex-math></inline-formula>-string stability under random additive communication noises are derived. Third, by utilizing the Lyapunov approach and <inline-formula> <tex-math notation="LaTeX">$It\hat {o}$ </tex-math></inline-formula> stochastic differential equations, the consensus of vehicle platoon under random additive communication noises is proved. Last, to reduce the frequent communication between vehicles, an event-triggered mechanism is introduced, and the design for the triggering parameter is derived. The effectiveness of the proposed method is verified with some numerical simulations.