A cloth transfer apparatus allows a cloth to be attached to a traveling clamp efficiently without waste even when a corner of the cloth to be attached to the traveling clamp is specified. The cloth transfer apparatus includes: a plurality of independent traveling clamps; and a transfer rail circulating through a supply unit where a corner of the cloth is attached to the traveling clamp and a discharge unit where the cloth is delivered from the traveling clamp and allowing the traveling clamps to independently travel. In the supply unit: a branch point that allows the transfer rail to branch into a first supply rail and a second supply rail and a merge point that allows to the branched first supply rail and second supply rail to be merged.