Abstract Bacterial infection can cause delay in wound healing, and reactive oxygen species (ROS) was accumulated in wounds, which threaten patients’ lives. Therefore, it needs to develop a multifunctional hydrogel for infected wound healing. Here, a multifunctional QAS‐CS@GA‐GM hydrogel with antibacterial and antioxidant property, established by the self‐adaptive covalent bond, is prepared aiming to eradicate bacteria and eliminate ROS. It is observed that QAS‐CS@GA‐GM hydrogel displays remarkable ability of clearing ROS and killing bacteria in vitro. With its antibacterial and antioxidant activity, QAS‐CS@GA‐GM hydrogel significantly accelerates the MRSA‐infected wound closure and reduces inflammatory, when QAS‐CS@GA‐GM hydrogel was applied to wound sites. Collectively, the research suggests that a self‐adaptive QAS‐CS@GA‐GM hydrogel is a promising wound dressing as antibacterial and ROS‐scavenging dressing for bacterial‐infected wound.