The leader-follower consensus via event triggered control of first-order multiagent systems is proposed under jointly connected topology. Firstly, a state predictor is designed to obtain the rate of change of state information of neighboring nodes when the position information is known. Next, an event-triggered consensus control law containing neighbor node location information and state prediction information is established. Then a state-dependent event triggering condition is given for each agent, and control input will be update only if the event triggering condition is unsatisfied. Finally, it is proved that the proposed event-triggered consensus control algorithm can achieve leading-following consensus under jointly connected topology and exclude Zeno phenomenon using Lyapunov stability theory and algebraic graph theory. Furthermore, simulation is carried out to verify the proposed method is verified in Simulink.