Much of norm research that focuses on actors’ behaviour in relation to a norm refers either to behaviour in accordance with a norm (e.g., appropriateness or compliance) or to behaviour that constitutes critical engagement or even rejection with a norm (e.g., contestation or norm violation). What remains unchartered by these approaches is behaviour that not only is in accordance with a norm but also goes in some way beyond the expected behaviour. We suggest calling this ‘responsible behaviour’. Based on constructivist norms research and research on responsibility in world politics, we develop a conceptualisation that allows to better understand such behaviour. To substantiate our understanding of norm-related behaviour, we develop a typology of four ideal types: appropriate, responsible, inappropriate, and irresponsible behaviour. We then zoom into responsible behaviour and identify three configurations of responsible behaviour. First, over fulfilment of a norm by an actor; second, actors previously not addressed by the norm nevertheless decide to act accordingly to the norm; third, norm generative behaviour. Finally, we illustrate these three configurations with different examples from the realm of global politics, looking at diverse actors such as municipal governments and armed non-state actors, studying different norms and norm types in various situations.