This paper focuses on the design of a distributed observer based on event-triggered communication for continuous-time linear time-invariant (LTI) systems. In order to implement discrete-time communication among (sub-) observers, a dynamic event-triggered mechanism is proposed to reduce the communication frequency among neighboring observers as well as to ensure accurate estimations of the designed observers. In this case, each observer broadcasts its information to its neighbors only when the relevant event-triggering condition is met. Finally, numerical simulations are given to show the effectiveness of the proposed approach.