A screw-drive conveying apparatus has on a conveying traveling body side, a first driven roller pair having a shorter distance between two driven front and rear rollers and a second driven roller pair having a longer distance between two driven front and rear rollers. A first screw shaft row with which the respective driven rollers of the first driven roller pair are engaged and a second screw shaft row with which the respective driven rollers of the second driven roller pair are engaged are provided on a traveling path side. The length of screw discontinued spaces between both screw shaft rows is equal to the distance between the driven rollers of the driven roller pair engaged with the screw shaft row on the upstream side.