A transport system (10) for transporting workpieces (12) on a transport path between two production process stations, includes a set of drones (18, 20), each of which includes at least one gripper (26), which is designed to releasably couple to a surface (28) of a workpiece, and a control device for the simultaneous coordinated control of the drones (18, 20) of the set in such a way that the grippers (26) of the drones (18, 20) couple to different coupling positions on the surface (28) of the workpiece (12) and the orientation of the workpiece (12) can be changed on a transport path between the production process stations by changing the relative positions of the drones (18, 20) while maintaining the relative distances of the coupling positions from one another.