This chapter is concerned with how implicit, nonverbal cues support coordinated action between two partners. Recently, neuroscientists have started uncovering the brain mechanisms involved in how people make predictions about other people's behavioural goals and intentions through action observation. To date, however, only a small number of studies have addressed how the involvement of a task partner influences the planning and control of one's own purposeful action. Here, we review three studies of cooperative action between human and robot partners that address the nature of predictive and reactive motor control in cooperative action. We conclude with a model which achieves motor coordination by task partners each adjusting their actions on the basis of previous trial outcome.