Catalysis of chemical reactions is crucial for both chemical industry and research. However, scientists are not the first ones to use catalysts in their laboratory. In fact, they are also essential for nature which designs plenty of biocatalysts, playing a pivotal role in living systems. For a long time, it was thought that only enzymes had this property. However, since the beginning of the s, it is known that ribonucleic acids also termed RN" can acquire this ability, making them compulsory for key reactions e.g., for the translation of messenger RN" in the ribosome . "ased on that, chemists designed several synthetic DN" catalysts termed DN"zymes for a large variety of reactions and applications. "mong the DN" structures used, G-quadruplexes are guanine-rich noncanonical DN" structures i.e., differing from duplex DN" composed of native G-quartets and particularly interesting for their ability to catalyze reactions of peroxidation. This peroxidase-mimicking system found plenty of applications detailed in this chapter. Moreover, optimizations of experimental conditions are also discussed and highlight the versatility and easy-to-use characteristics of G-quadruplexes DN". "lso, synthetic G-quartets, mainly T"SQ for template-assembled synthetic G-quartets , developed by chemists showed their ability to mimic G-quadruplexes, thanks to the presence of a G-quartet. Thus, synthetic G-quartets proved their capability to catalyze peroxidase-mimicking reactions, and these new exciting nature-mimicking catalytic systems are presented in detail in this chapter.