The addition of a cognitive task to a balance task impacts postural control. While the effects of dual-tasks have been extensively investigated on the ability of maintaining an upright posture in static conditions or during walking, a limited number of studies focused on other dynamic balance scenarios. In this work, we explored how a motor-cognitive dual-task influenced balance and cognitive performance in unimpaired individuals, in two age groups, under two different dynamic balance conditions. Subjects stood on a moving robotic platform that tilted either in response to subjects’ weight shift or based on a preprogrammed motion trajectory. Subjects performed two versions of the Stroop Test: the classic format and a digital version. As expected balance performance always worsened when adding the cognitive task. Conversely, cognitive performance deteriorated with cognitive task complexity and was also influenced by the difficulty of motor tasks.