In this paper a novel coding scheme termed as Redundant Bit Position Rotation Sub-Block-Coding (RBPR-SBC) is proposed to reduce the peak-to-average power ratio (PAPR) of OFDM signals. Simulation results show that by using this new scheme, a better performance compared with the Standard Sub-Block-Coding (S-SBC) can be achieved According to the probability distribution characteristics of the peak envelope power (PEP) of OFDM signals, a threshold control scheme is proposed to reduce the complexity of this novel coding scheme.