A magnetically controlled switching device in which a plurality of reed relays are arranged in matrix array, each relay being composed of a plurality of reed switches, and which has the following characteristic features. Firstly, a coil form where the reed switches are positioned provides guides which introduce leads of the reed switches toward the edge portion of the coil form. The end of the leads are bent so as to easily introduced the leads along the guides of the coil form. Secondly, for the purpose of connecting the leads to a plurality of vertical and horizontal multiple connecting wires, projected portions are provided in the multiple connecting wires, and the reed relays are disposed so that the lead terminals are not arranged in the direction of the multiple connecting wires and the leads and the projected portions are respectively connected. Thirdly, the coil forms where said reed switches are positioned and a group of terminals for the exciting coils are fixed to a magnetic shunt plate. Said magnetic shunt plate, said coil forms, said group of terminals, terminal flanges which insulate said terminals and supporting members which support the base plate on which the multiple connecting wires are arranged are formed simultaneously as one body with synthetic resin.