Abstract: This paper deals with an H∞ filter design problem for networked uncertain systems with random time delays. As the sensors and filters are connected via a limited bandwidth communication channel, a system's measurements are often subject to randomly varying delays. And the delays are assumed to be the linear functions of the stochastic variables that satisfy Bernoulli random binary distribution. The sufficient conditions for the existence of full- and reduced-order filters are presented, thus, guaranteeing that the filter error systems are exponentially mean-square stable and have a prescribed H∞ disturbance attenuation level via linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the validity of the proposed design approach.