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The problem of event-triggered output feedback control for a class of discrete Markov jump systems with quantization is investigated, the three aspects of system modeling, stability analysis and controller design are studied respectively. Firstly, an event-triggered communication mechanism is proposed to determine whether the sampled data can be transmitted to the controller. Secondly, a quantizer is introduced between the sensor and the controller, and sector bound approach is used to quantify the sampled data, which can reduce the data transmission rate in the network. Next, through the analysis of network induced delay, a Markov jump time-delay system with external disturbances is established. The Lyapunov-Krasovskii functional is constructed to obtain the sufficient conditions for the closed-loop system to be asymptotically stable with a prescribed performance index. And the corresponding output feedback controller is designed. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method