Interlocks for file cabinets and the like which generally prevent more than one drawer from being opened at a given time. The interlocks include an elongated, flexible member, such as a cable, which is changeable from a high slack condition to a low slack condition. In the low slack condition, the interlocks prevent their associated drawers that are closed from being opened. In the high slack condition, the interlocks allow their associated drawer to be opened. The interlocks may be used in conjunction with a lock that selectively changes the cable from a high slack condition to a low slack condition and vice versa. The interlocks may be constructed to exert a force on the cable that is a small fraction of the pulling force exerted on a locked drawer.