A gripper head of a weaving machine has a clamping device for clamping a band-shaped weft material to be inserted into a loom shed of the weaving machine. The clamping device includes a stationary clamping jaw and a movable clamping jaw that is loaded by a spring and movable about a rotation axis. Each clamping jaw respectively has a clamping surface. The movable clamping jaw is actuatable by a control device to open the clamping device. The gripper head includes a frame, and the clamping surfaces are arranged essentially outside of the frame, but the spring and the rotation axis are arranged inside the frame.