• Non-radical species in heterogenous advanced oxidation processes (AOPs) are overviewed. • Principles and limitations for the identifying of non-radical species are discussed. • Driving forces triggering the activating process are summarized. • Critical thinking and further prospects of non-radical based AOPs are proposed. Non-radical oxidation in heterogenous advanced oxidation processes (NR-AOPs) show the superiority for organic contaminants removal in high selectivity, good pH stability and strong anti-interference ability. Thus, it is a hot topic in the recent decade. NR-AOPs are primarily dominated by interfacial catalytic activation. The mechanisms are complicated due to different non-radical species, various authentication methods, and still need a deeper understanding. Therefore, this review summarized latest developments in NR-AOPs, focusing on the recognition and identification of non-radical species (including the 1 O 2 , direct electron transfer, surface active complex and high-valent metal species), as well as the driving forces and conversion of activating paths. In addition, a discussion on the current deficiencies, challenges and future outlook of NR-AOPs were also provided. This critical review aims provide a comprehensive overview and trigger in-depth thinking about NR-AOPs to guide its further development.