This paper develops a novel combination of the event-triggered disturbance estimation and rejection (DER) technique, and the networked predictive control (NPC) strategy for the networked control systems (NCSs) with external disturbance and time delay. Firstly, the Luenberger observers are constructed to estimate system state and disturbance, respectively. Next, with the aid of the observer-based NPC strategy, the effect of network-induced time delay is compensated effectively. Simultaneously, the DER technique is incorporated into the networked predictive controller design for the disturbance rejection. Furthermore, to cope with the networked bandwidth constraint, the event-triggered DER&NPC technique is embedded in the controller design of the considered NCSs to ensure the desired closed-loop system performance with a more efficient network resource utilization. Finally, two simulation examples are exploited to validate the proposed results.