Background: Previous studies have demonstrated that the performance of a postural-suprapostural dual task can be modulated by varied attention prioritization. The purpose of this study was to compare the effects of two task-priority approaches to dual-task learning on accuracy and dynamic characteristics of postural-suprapostural performance. Methods: We concurrently conducted a force-matching precision grip task (suprapostural task) while maintaining a stabilometer stance (postural task). Twenty adults were randomly assigned to one of two learning conditions: (1) dual-task learning with prioritizing force-matching precision grip task (supraposture first, SF), or (2) dual-task learning with prioritizing stabilometer movement (posture first, PF). Force-matching error, postural error, and dynamics of force-matching peak and stabilometer movement were evaluated. Results: Dual-task learning with the SF strategy caused superior force-matching, postural accuracy, and more complex stabilometer movements than dual-task learning with the PF strategy. Conclusion: Dual-task learning with the SF strategy takes advantage of more autonomous and flexible postural responses to facilitate the suprapostural performance.