Abstract Based on sensor network transmission, the event-triggered distributed filtering problem for a class of linear systems with additive and multiplicative noises is investigated in this paper, in which the considered process noise and measurement noise have one-step autocorrelation and two-step cross-correlation characteristics. Firstly, a recursive equation is used to describe the dynamic deviation of the system and the random variables of the Bernoulli distribution are introduced to describe the random packet loss phenomenon.Secondly, an event-triggered mechanism is introduced to reduce the frequency of information transmission while ensuring filtering performance, and a novel distributed filter is constructed based on consistency.? Then, a recursive equation for the upper bound of filtering error covariance is established using random analysis technology, and an expression for filtering gain is given by minimizing the variance constraint index. Finally, the effectiveness of the proposed optimized filtering method was verified through numerical simulation.