The collaborative task of logistics robots is a very big challenge for the intelligent warehousing industry. In order to improve the effectiveness of task deployment for intelligent warehousing, this paper proposes a novel strategy of collaborative tasks for logistics robots, which includes three different functional robots, named transport robot which is used for transportation tasks, mobile manipulator used for sorting goods, and pick-and-place robot. All of these robots have an omnidirectional mobile base, which allows them to move in any direction, rotate in place, and navigate with the artificial potential Field (APF). Finally, the experimental verification proves clearly that the logistics robot cooperates well to complete the tasks of outbound and inbound goods and shows great flexibility under an unstructured environment.