Control of protein conformation and function, induced by the binding of an effector, plays significant roles in modulating biochemical reaction. Although the DNAzymes catalytic activity is similar to protein-based enzymes, reports of allosterically controlled DNAzymes are still limited except for aptamer-DNAzymes hybrrids. Here, we report allosteric control of peroxidase-mimicking DNAzyme activity using cationic copolymers. The DNAzyme requires a structured G-quadruplex core and hemin for activity, and the DNAzyme with a parallel G-quadruplex core has higher DNAzyme activity than DNAzymes based on other types of structure. We previously reported that a cationic copolymer composed of a cationic backbone and hydrophilic dextran side chains selectively stabilizes parallel G-quadruplex structures. In this study, we investigated effects of the cationic copolymer on peroxidase-mimicking DNAzyme activity. The cationic copolymer enhanced the DNAzyme activity by more than 30-fold by stabilizing the parallel G-quadruplex structure. Furthermore, reversible allosteric control of DNAzyme activity was achieved by adding cationic and anionic polymers.