In this paper, an H∞ filtering problem is considered for a class of networked control systems (NCSs) with randomly occurring multiple packet dropouts. A modified mathematical model is proposed which is able to describe the randomly occurring consecutive packet losses with known maximum number of the dropouts. Moreover, with the proposed model, the considered packet loss probabilities can be either the same or different. According to the mathematical model, an H∞ filter is designed for the considered NCSs with known maximum number of consecutive packet dropouts. Simulation results show the effectiveness of the proposed H∞ filtering method.