The disclosure relates to a gripping device for an end effector of a manipulator for holding a workpiece via its workpiece surface, having a Bernoulli gripping unit, with an outflow unit for discharging a flow from the Bernoulli gripping unit between gripping device and workpiece surface in such a manner that in a region—Bernoulli-negative pressure region—a static negative pressure for holding the workpiece is generatable by the flow, and having a vacuum gripping unit with a suction chamber, wherein in a region delimited by the suction chamber—vacuum negative pressure region—a static negative pressure for holding the workpiece is generatable, wherein the Bernoulli negative pressure region and the vacuum negative pressure region intersect at least in part or wherein the Bernoulli negative pressure region and the vacuum negative pressure region surround one another.