To carry out experimental research on the breakdown characteristics of insulation materials to withstand system overvoltage, the characteristics of the breakdown voltage waveform should be observed and recorded, and a pulse capacitive divider with good dynamic response is a guarantee of the accuracy of the experimental data. A simple structure of low voltage arm compensation circuit is proposed for the waveform of breakdown process, and a self-integrating capacitive voltage divider is designed to take into account both high-frequency and low-frequency characteristics. By analyzing the self-integrating conditions and matching methods, the two-stage voltage division matching is combined with compensation matching, and the parameters of the compensation circuit are verified experimentally. The designed capacitive voltage divider has a high-voltage arm of 5pF, a low-voltage arm of 150pF, and a compensation resistance of 10kΩ. Through the step-response test, the capacitive voltage divider has a partial response time of 7.2 ns, which meets the demand of fast frontier test; after the whole casting, the capacitive voltage divider has a scale factor of 6389.26, which is in good consistency, and its linearity deviation is less than 1%.