This study investigates the problem of event-triggered output-feedback H∞ control for networked control systems (NCSs) with non-uniform sampling. First, an event-triggered communication scheme is proposed, in which the output of the system is taken sample with a non-uniform sampling period, while whether or not the sampled data should be transmitted is determined by a predetermined well-designed event-triggering condition. Second, the event-triggered NCSs are modelled as a time-delay system, which regards the measured output-error between the output at the current sampling instant and the output at the last transmitted sampling instant. As a result, the stability and synthesis criteria are derived to guarantee the uniform ultimate bounded stability and the desired performance while using the less communication bandwidth. Finally, three illustrative examples are used to show the effectiveness of the proposed method.