Orthogonal Frequency Division Multiplex/Offset QAM (OFDM/OQAM) has been proven to be a promising Multi-Carrier Modulation (MCM) technique for the transmission of signals over multipath fading channels. However, OFDM/OQAM has also the intrinsic disadvantage of high Peak-to-Average-Power Ratio (PAPR) that should be alleviated. In this paper, a novel SeLective Mapping (SLM) method is proposed for OFDM/OQAM system. Since the pulse shape may cover a few OFDM symbols, the basic principle of the proposed method is to apply the SLM method in the range of the most relevant OFDM symbols.