The bidirectional buck/boost converters (BBBC) are widely used in electric vehicles to achieve bidirectional energy flow. To address high current demands, parallel-connected BBBC systems are developed. The distributed control for the parallel BBBC system has the advantages of reliability and scalability. However, the interleaving lines are required to achieve the interleaving operation, which decreases the reliability. Therefore, this paper proposes a novel hysteresis current controller for the two-module-paralleled BBBC to achieve the interleaving operation without the need for interleaving lines. The parallel structure with a common inductor is proposed first to provide the hardware basis. Then, the inductor-voltage-shaped hysteresis current controller is proposed to achieve the interleaving operation. The detailed analysis of the proposed controller is presented in this paper, and experiments are carried out to demonstrate the effectiveness of the proposed method.