It is urgently desired to selectively degrade the target pollutant with high efficiency for the treatment of water pollution. However, the application of weak redox species for increasing selectivity always decreases the efficiency of the degradation. Hydroxyl radical (·OH) in the Fenton reaction exhibits high oxidized ability and no selective degradation for the target products. In the present study, 2D-shaped Na and Fe co-doped g-C3N4 were synthesized as the catalyst for the Fenton-like reaction, which showed catalytic activity for selective degradation of organic pollutants. These pollutants weer selected as methyl orange (MO), cresol red (CR), acid fuchsin (AF), ciprofloxacin (CIP), rhodamine B (RhB), tetracycline (TC), malachite green (MG), methylene blue (MB), and neutral red (NR). The degradations of the cationic dyes (MB, MG, and RhB) within 10 min were 97 %, 93 %, 92 %, 90 %, and 86 % in mixed pollutants as MB/MO, MB/AF, MB/CR, MG/CR, and RhB/CR, 91 % and 83 % in MB/CR/AF and MG/AF/CR, respectively. And the degradation rate reached 100 % by extending the time to 20 min. Simultaneously, the degradation of the anionic dye was smaller than 10 % in these mixed systems. The catalytic mechanism was proposed, in which the Fe ion was the active center for the reaction. This investigation may be useful to design the catalyst to selectively degrade the pollutant through the Fenton reaction.