Quantum key distribution (QKD) can achieve information security theoretically. However, it should be based on the reliable identity of both parties in the communication. Compared with classical identity authentication protocols, quantum identity authentication (QIA) protocols have higher security level in theory, and they are easier to be combined with quantum cryptography protocols, so more and more scholars take part in the research of QIA. In the past 3 decades, various of QKD protocols have been proposed. One of them is Round Robin Differencial Phase Shift Quantum Key Distribution (RRDPS QKD) proposed by T. Sasaki et al. RRDPS QKD uses laser pulse sequences to modulate photons, and it has great bit error tolerance and finite length key effect. This paper proposes a QIA protocol which can be implemented in modified RRDPS QKD communication line. And we also analyze the security of the proposed protocol. [ABSTRACT FROM AUTHOR]