Heterogeneous catalytic ozonation (HCO) triggered by single-atom catalysts (SACs) is an emerging and promising advanced wastewater treatment technology. The catalytic ozonation mechanisms involving single-atom sites and the application of SACs-based HCO require further exploration. Herein, a single-atom Co catalyst with Co-N4 active sites was synthesized for HCO. Oxalic acid (OA) and p-hydroxybenzoic acid (pHBA) with different structural and chemical properties were utilized as the model contaminants. Compared with ozonation and Co nanoparticle-based HCO, single-atom Co-based HCO exhibited superior removal for the two model pollutants, with the removal rate constants of 0.098 and 0.076 min−1 for OA and pHBA, respectively. In the single-atom Co-based HCO, ozone was decomposed and converted to nonradical ROS of surface-adsorbed atomic oxygen (*Oad) and singlet oxygen (1O2). OA was mainly removed on the catalyst surface, relying on the adsorption by the catalyst and the oxidation of *Oad, while electron-rich pHBA was oxidized by O3 and 1O2 in solution. Furthermore, using 3-5 mm Al2O3 pellets as the carrier, single-atom Co doped carbon-Al2O3 pellets were fabricated and applied for the advanced treatment of landfill leachate, and the COD decreased from 110 mg/L to 38 mg/L after treatment. This work provided new insights into the oxidation mechanisms and applications of SACs-based HCO.