This paper studies the filtering problem of a class of time-varying systems with random nonlinearityand one-step measurement delay． The random nonlinearity and one-step measurement delay are described byintroducing the random sequences obeying Bernoulli distribution． At the same time，the event-triggered transmissionmechanism is introduced and the proposed system is augmented to construct a filter． In this paper，a filteringalgorithm with one-step measurement delay and random nonlinearity is proposed． When one-step measurementdelay，noise and random nonlinearity exist at the same time，the upper bound of the covariance matrix of filteringerror is found by scaling，and the trace of the upper bound is minimized by designing the filter gain matrix．Finally，the validity and practicability of the proposed filtering algorithm are verified by matlab simulation．