A measurement system with a high driving frequency of 100 kHz is effective for measuring the ferroelectricity of leaky ferroelectric materials such as multiferroic BiFeO₃ films. A high driving frequency reduces the measurement time, leading to a drastic reduction in the influence of the leakage current density on ferroelectric hysteresis loops. Phase-delay compensation is essential in a system with a driving frequency of 100 kHz; in this study a standard capacitor was used for phase-delay compensation. The value of remanent polarization of a BiFeO₃ film measured by the 100-kHz system was confirmed by a positive, up, negative and down measurement.