The invention relates to an LC parallel bidirectional resonance DC/DC converter and a control method thereof. The converter is suitable for occasions of high voltage and large power. The converter comprises a converter module 1, a resonance unit and a converter module 2 in successive connection; each converter module comprises a DC power supply, a filtering capacitor and a converter bridge arm in parallel connection; the bridge arm comprises two branches in parallel connection, and each branch is composed of two switch tubes in serial connection; and the resonance unit is connected to position between the two switch tubes of each branch. In the control method, ON/OFF of the switch tubes are controlled to realize eight step-up/down modes. According to the converter and control method thereof, power can flow bi-directionally, and different step-up/down requirements can be met.