A harvesting header having a flexible cutterbar assembly utilizes draper belts behind the cutterbar assembly to gently consolidate the severed crop materials and deliver them to a point of discharge and delivery, such as to the feederhouse of a combine harvester. One embodiment has draper assemblies and a central conveyor fixed relative to the flexible cutterbar assembly, while another has the draper assemblies and central conveyer flexible with the cutterbar assembly.