The design of catalysts and catalytic processes for high efficiency and selectivity of important singlet oxygen ( 1 O 2 ) active species generation in oxidation reactions is still challenging, especially utilizing abundant and environmental O 2 without photoelectric field or extra thermal condition. Herein, a curved Fe 1 −N 4 single-atom site is developed by incorporating isolated Fe single atom into nanodiamond with high-curvature surface. It leads to an unprecedented relay catalysis route, in which the activation of O 2 is coupled with peroxymonosulfate (PMS) activation, to efficiently generate 1 O 2 species. In detail, PMS is first activated on the curved Fe 1 −N 4 site with electron donation to Fe single atom, accompanied by 1/2 equiv of 1 O 2 production. More importantly, due to the compressive strain of the curved Fe 1 −N 4 site with a higher energy level of Fe 3d z 2 orbital, the curved Fe 1 −N 4 site with electron charge acquisition can directly transfer electron to O 2 molecule and consequently trigger the generation of additional 1 equiv of 1 O 2 . Taking advantage of this tandem process, remarkable efficiency and near 100% selectivity of 1 O 2 generation are achieved, which leads to an ultrahigh metal catalytic efficiency of 0.77 min −1 for tetracycline oxidative degradation and an outstanding catalytic performance for benzene alcohol selective oxidation. This work, on the one hand, opens up an efficient way to generate 1 O 2 by O 2 activation in peroxide-based catalytic oxidations, and on the other hand, develops a bifunctional Fe 1 −N 4 single-atom site with rapid electron gain and loss ability, which sheds light on further improving catalytic performance in single-atom catalysts via relay catalysis mechanism.