A veneer reeling unit in a device for reeling veneer is provided. The unit comprises a rotatable reeling roll disposed in parallel to the grain of veneer sheet to be wound thereon, thread storage member which contains a winding of thread of a required length for supplying said thread during reeling operation and re-collecting said thread after said operation, and thread guiding member which is adapted to guide said thread supplied from the said storage member so that the thread may be wound together with the veneer round the periphery of said reeling roll in such a way that the former may guide and support the latter. The use of this unit in reeling device can make possible smooth reeling of veneer sheets of various shapes and widths.