In the reactions of dimethyldioxirane (1a) and methyl(trifluoromethyl)dioxirane (1b) with 2,2,6,6‐tetramethylpiperidinyl‐1‐oxyl (2) (TEMPO) in acetone, the corresponding methoxyamine 1‐methoxy‐2,2,6,6‐tetramethylpiperidine (5) is produced in ≥98% yield, both in air and under N2, and in the absence or presence of a hydrocarbon (adamantane). Kinetic experiments show that aminoxyl 2 triggers the radical decomposition of the dioxirane, in addition to scavenging methyl radicals derived therefrom. The reactions of an aminoxyl less prone to oxidation, namely 1,2‐dihydro‐2‐methyl‐2‐phenyl‐3H‐indol‐3‐one‐1‐oxyl (4), with dioxiranes 1a and 1b in acetone have also been studied. In these cases, not only is the corresponding methoxyamine 8a produced (yield 12−16%), but quinoneimine‐N‐oxides 10 (yield 12−21%) and 11 (yield 18−19%) are also formed. Furthermore, significant amounts (8−14%) of the amine 9 (the product of deoxygenation of 4) can be isolated. These observations provide useful information concerning the free‐radical mechanism that follows the initial attack by the aminoxyl at the dioxirane.