An electron-donor–acceptor (EDA) complex between Togni’s reagent and a tertiary amine has been introduced. The existence of this EDA complex was supported by NMR titration experiments. The hydrotrifluoromethylation of unactivated aliphatic alkenes and alkynes enabled by this EDA complex has also been developed. This hydrotrifluoromethylation protocol is operationally simple and promoted by a tertiary amine.