This invention relates to an apparatus for conveying cops and bobbins for directly connecting a ring frame with a winder wherein one operation to feed those cops which are doffed onto the transport-bands on both the right and left sides of the ring frame to the subsequent process from one end of each of the transport-bands and the other operation to receive bobbins needed for the next doffing onto the transport-band are together simultaneously performed, with these two simultaneous operations being repeated. This invention has no provision of a random stock zone and the substantial function of bobbin stock is given to the transport-band, and the bobbin returned from the winder is adjusted in alignment thereof by the bobbin aligning device and conveyed by the bobbin stock conveyor and dropped onto the transport-band.