An accordion partition has a pair of panels having adjacent vertical inner and outer side edges interconnected by a hinge. Horizontal and generally parallel upper ceiling and lower floor tracks extend above and below the pair of panels, and upper and lower trolley hardware on each of the panels rides in the respective tracks so that the panels can move horizontally relative to one another. Respective latches on each of the outer edges can move between locked positions engaged in one of the tracks and an unlocked position clear of the one track. Coupling elements on both of the latches interengage only in the extended use position for shifting both of the latches synchronously between the respective locked and unlocked positions. An actuator on only one of the latches manually shifts the one latch between the locked and unlocked position.