A dual-frequency bistable liquid crystal display and the liquid crystal mixture thereof includes liquid crystal cell filled with a liquid crystal mixture which contains dual-frequency liquid crystal, chiral compound, and nematic liquid crystal mixture. The liquid crystal mixture has the characteristics of both the dual-frequency liquid crystal and cholesteric liquid crystal. The dual-frequency bistable liquid crystal display is driven in a frequency modulation mode and can be switched between two optical states by taking advantage of the dielectric anisotropy of the liquid crystal, which results in a short switching time and sharp contrast between two optical states. Furthermore, the maintaining of the two optical states requires no voltage, which does not require the use of a high voltage to destabilize the helical structure of the cholesteric liquid crystal, and does not have to go through a metastable stage. Hence, power consumption and switching time are reduced.