The thesis is concerned with distributed event-triggered consensus for dynamic agents which communicate over a strongly connected topology. The aim of the proposed approach is to decrease both data broadcasting and control executions meanwhile the asymptotic stability to be guaranteed. A novel event-based control scheme is investigated which relaxes the need for each agent i to execute the control tasks at the trigger instants of the neighboring agents. In the proposed method, it is sufficient that each agent broadcasts its sampled-state to the neighbours and also updates its control input only at its own triggering instants. Therefore, the communication network utilization and energy consumption will be decreased in addition to extending the lifespan of the actuators. S ystematic procedure s are provided to design parameters of the consensus controller as well as its local event-triggered mechanism (ETM). Besides, it is proved that the proposed ETM s exclude Zeno behaviour in multi-agent system (MAS).