Remaining resilient under disruption, while also being sustainable, is essential for continued and equitable seafood supply in a changing world. However, despite the wide application of resilience thinking to sustainability research and the multiple dimensions of social-ecological sustainability, it can be difficult to ascertain how to make a supply chain both resilient and sustainable. In this review, we draw upon the socio-ecological resilience and sustainability literature to identify links and highlight concepts for managing and monitoring adaptive and equitable seafood supply chains. We then review documented responses of seafood supply networks to disruption and detail a case study to describe the attributes of a resilient seafood supply system. Finally, we outline the implications of these responses for social (including wellbeing and equity), economic and environmental sustainability. Disruptions to supply chains were categorised based on their frequency of occurrence (episodic, chronic, cumulative) and underlying themes were derived from supply chain responses for each type of disruption. We found that seafood supply chains were resilient when they were diverse (in either products, markets, consumers or processing), connected, supported by governments at all scales, and where supply chain actors were able to learn and collaborate through trust-based relationships. With planning, infrastructure and systematic mapping, these attributes also can help to build socio-ecological sustainability and move towards more adaptive and equitable seafood supply.