Abstract: The high peak-to-average power ratio (PAPR) is the bottleneck of the development of multicarrier transmission technology. The residue number system (RNS)-based PAPR reduction method is proposed to improve PAPR performance. The main idea of the proposed method is to use the parallel and modular operation properties of RNS to limit the dynamic range of transmitted signals for PAPR reduction. In this paper, the performance of the proposed method is analyzed. In addition, the common lossless methods, selective mapping (SLM) and partial transmit sequences (PTS), are compared with the proposed method. Theoretical analysis and simulation results demonstrate the proposed method has the capability to achieve desirable PAPR reduction and low complexity without distortion and side information, compared with PTS and SLM.