Abstract: This paper is concerned with the robust filtering problem for a class of discrete time-varying systems with uncertainties and multiple packet dropouts. The system under consideration is subject to time-varying norm-bounded parameter uncertainties in both the state and output matrices. Based on a model of multiple packet dropouts, the system is modeled as one with stochastic parameter. An upper bound on the variance of the state estimation error is first found under admissible parameter uncertainties. Then, a robust filter is derived by minimizing the prescribed upper bound in the sense of the matrix norm. It is shown that the desired filter can be obtained in terms of the solutions to two discrete Riccati difference equations. Eventually, a robust filtering algorithm suitable for online computation is summarized and a simulation example is presented to demonstrate the effectiveness and practicality of the proposed algorithm.