Abstract: A flexible coupling having quick-disconnect coupling hubs for connecting a drive shaft to an adjacently-aligned driven shaft and transmitting torsion from the drive shaft to the driven shaft responsive to rotation of the drive shaft, while accommodating misalignment of the shafts with respect to each other. In a preferred embodiment a cylindrical hub is slidably, adjustably mounted on each shaft by a key. An annular coupling flange is removably secured on each hub by a key, ALLEN screws or a snap ring. Each coupling flange receives the corresponding end of a resilient, elastomeric flexible connector which spans the coupling flanges to transmit torsion from the drive shaft to the driven shaft while accommodating misalignment of the shafts as the drive shaft is rotated.