The review describes the diversity of innovation and relates it to agro-food sector. It also sheds light on different innovation models and explores their contribution to framing agro-food sustainability transitions. There are many variations in the use of the term ‘innovation’. Typical distinctions encountered in the literature are incremental vs. radical innovation and product vs. process vs. organizational innovation. A significant feature of the development of modern innovation thinking has been a gradual broadening of innovation scope as well as more attention to sustainability.