The selective oxidation of hydrocarbons is a challenging reaction for synthetic chemists, but common in nature. Iron oxygenases activate the O–O bond of dioxygen to perform oxidation of alkane and alkenes moieties with outstanding levels of regio-, chemo- and stereoselectivity. Along a bioinspired approach, iron coordination complexes which mimic structural and reactivity aspects of the active sites of nonheme iron oxygenases have been explored as oxidation catalysts. This review describes the evolution of this research field, from the early attempts to reproduce the basic reactivity of nonheme iron oxygenases to the development of effective iron oxidation catalysts. The work covers exclusively nonheme iron complexes which rely on H 2 O 2 or O 2 as terminal oxidants. First, it delineates the key steps and the essential catalyst design principles required to activate the peroxide bond at nonheme iron centers without (or at least minimizing) the release of free-diffusing radicals. It follows with a critical description of the mechanistic pathways which govern the reaction between iron complexes and H 2 O 2 to generate the oxidizing species. Eventually, the work presents a state-of-the-art report on the use of these catalysts in aliphatic C–H oxidation, olefin epoxidation and alkene syn -dihydroxylation, under substrate-limiting conditions. A special focus is given on the main strategies elaborated to tune catalyst activity and selectivity by modification of its structure. The work is concluded by a concise discussion on the essential progresses of these oxidation catalysts together with the challenges that remain still to be tackled. Graphical Abstract