Singlet and triplet H-transfer reaction paths from C-H and N-H bonds were examined by means of DFT and spin-flip TD-DFT computations on the [(tren Me1)CuO2]+ adduct. The singlet energy surfaces allow its evolution towards H2O2 and an imine species. Whereas N-H cleavage appears to be a radical process, C-H rupture results in a carbocation intermediate stabilized by an adjacent N atom and an electrostatic interaction with the [CuIOOH] metal core. Upon injection of an additional electron, the latter species straightforwardly forms a hydroxylated product. Based on these computational results, a new mechanistic description of the reactivity of copper monooxygenases is proposed.