Organising in a mindful way is key to helping innovation teams become more resilient and thereby increase the chances of innovation success. Organising as such, called mindful infrastructure, implies creating the right conditions for teams to excel. To this end, four elements are crucial. When teams are 1) feeling psychologically safe, 2) experience a learning environment, 3) have a say in decision-making, and 4) see that leadership creates synergy, the foundation is laid for resilient team behaviour. In turn, this team innovation resilience behaviour enables teams to successfully deal with critical incidents, which, otherwise, could lead to innovation failure. Resilient innovation teams are extremely alert to small things that can become big problems, hate to jump to conclusions, link management goals with operational practice, value expertise stronger than rank, and can radically change course if required. This helps them keep their innovation projects on track and thus improve the chances of innovation success. This study first transfers insights of crisis and safety management to that of innovation management; second, it has sought to investigate the scientific underpinnings of mindful infrastructure and team innovation resilience behaviour. Third, it provides practical guidelines for building a Resilient Innovation Team.