A connector-mounting structure for mounting a pair of mating connectors for connecting wires conducting electrical current comprises a bracket which is mounted to a member of an automobile, for example. A first connector which houses a plurality of first terminals with wires connected thereto is placed in the bracket. A second connector which houses a plurality of second terminals with wires connected thereto is connected to the first connector. Pivot pins, slots or slot and a hole, and stopping members are formed in the bracket and first connector so as to hold the first connector at a first position for connecting the second connector to the first connector and to retain the first connector at a second position to which the first connector is moved from the first position by turning.