This paper investigates the observer-based H-infinity control problem for networked control systems(NCSs)with random packet dropouts.A general packet dropout model with multiple independent stochastic variables in the multiple channels case is adopted to describe the data missing in the limited communication channels.With the consideration of the sensor-to-controller and controller-to-actuator packet dropouts at the same time,a new method is proposed based on a separation lemma to design an observer-based H-infinity controller,which exponentially stabilizes the closed-loop system in the sense of mean square and also achieves a prescribed H-infinity disturbance attenuation level.A numerical example is given to illustrate the effectiveness of the proposed control method.