Despite growing interest in the concept of team work engagement (TWE), relatively little is known about the conditions that allow it to emerge. Based on the literature on work engagement and team climate, this study introduces the concept of TWE climate and examines its conceptual attributes. Based on a one-and-a-half-year qualitative investigation of eight Dutch self-steering project teams, we discovered that TWE climate comprises eight attributes, both (a) personal and (b) shared. Personal attributes include team members' commitment and drive toward the team and a personal feeling of being respected within the team. Shared attributes include a shared ability to overcome challenges and a shared sense of accomplishment, community, drive, and focus. Our findings indicate that personal and shared attributes are both critical elements of a team climate conducive to team work engagement. We conclude this paper by discussing what these findings mean for the concept of TWE climate in light of future research and practice.