The design approach for the networked fuzzy controller is proposed for discrete-time nonlinear systems with the event-triggered based transmission scheme. By introducing the triggering condition on the premise variable error in the event generator, the premise variables between the fuzzy controller and the plant are allowed to be asynchronous. By introducing some relaxation equations/inequalities based on fuzzy premise variable properties, the less conservative approaches for controller/event-generator co-design are proposed, respectively, for the case without transmission delay or with constant transmission delay. Finally, some numerical examples are used to illustrate the effectiveness and feasibility of the approaches proposed.