A connecting structure for connecting a motor for driving the mirror main body of an automobile outside mirror assembly such as an electric door mirror and a fender mirror and the power source of the motor to each other. A driving unit accommodating the motor is provided on the rear side of the mirror main body in the mirror visor. A power cord extends from a battery installed on an automobile main body into the mirror visor. A connector containing power terminals is mounted on the top portion of the power cord. The connection terminals of the motor project outward through the through-holes from a rear wall of a unit case of the driving unit to the rear side of the driving unit. The connector has through-holes for allowing the connection terminals to pass therethrough. The connection terminals are inserted through the through-holes and connected with the power terminals in the connector. Projecting walls formed on the connector and the unit case are fitted into each other with a waterproofing member provided therebetween. The power terminals contained in the connector are held to extend in the direction perpendicular to the connection terminals of the motor.