Abstract: Annular liquid containers are widely used in the third-generation nuclear power plants represented by Hualong-1, AP1000 and CAP1400. Their dynamic characteristics and dynamic response are important safety issues that require attention. This study, thus, primarily aims at establishing and solving the dynamic equations of annular liquid containers. Theoretical solutions of the vibration frequency and hydrodynamic pressure response of the liquid in annular container were derived using potential flow theory and Bessel series expansion with Neumann boundary condition. The theoretical equations were verified by performing limit analysis and comparing them with experimental and Finite Element Method (FEM) results. Accordingly, the dynamic reactions of annular liquid containers were predicted and the characteristics of hydrodynamic pressure response on inner and outer walls were analyzed. The vibration frequency and dynamic pressure response of annular liquid container were compared with those of the cylindrical liquid container of the same size. It was revealed that the hydrodynamic pressure responses of two models varied significantly under the load at the resonance frequency of either one due to the difference in vibration frequencies between annular containers and cylindrical containers. Current study can provide theoretical foundation for the engineering applications of annular liquid containers.