To certainly convey a carrier in a connection roller conveyor rail for connecting two or more roller conveyor rails provided at different heights and/or different inclination angles.

A roller module 11b is retained to a horizontal position and the carrier 5 is conveyed from a conveyor 12. When completion of intrusion of the carrier 5 is detected by a detection sensor, a drive roller of the roller module 11b is stopped, rotation action is operated by a ball screw and it is rotated in the inclined state. The drive roller is driven and the carrier 5 is conveyed to the roller module 11a retained in the inclined state. When completion of intrusion of the carrier 5 is detected by the detection sensor, the drive roller of the roller module 11a is stopped, the rotation action is operated by the ball screw and it is rotated in the horizontal state. The drive roller is driven and the carrier 5 is conveyed to the conveyor 10.