A new type of valveless piezoelectric pump driven by Cymbal actuator was put forward. The working process of Cymbal actuator was simulated by FEM (finite element methods). Based on establishing the FEM model of Cymbal actuator, modal analysis was carried out to calculate modal frequency. The just working frequency was obtained by calculation. By transient dynamics analysis applying piezoelectric coupling theory, the transient dynamics properties have been discussed. The analysis result provided a design reference on this kind of valveless piezoelectric pumps that use Cymbal actuators.