In this paper, we first investigate the physical-layer security in wireless communication with multiple eavesdroppers. Considering the importance of the fairness among multiple relays, this paper presents the sub-optimal relay selection protocol based on cumulative distribution function (CDF) of the ratio of channel coefficients, which satisfies the security requirement at the same time. We analyze relay fairness by obtaining the expression of relay selection probability and numerical results prove the strict fairness among multiple relays. Meanwhile, the expression of the intercept probability is also presented.