Disclosed herein is a traveling device for moving toys. The traveling device includes a base plate formed in a plate shape; first and second magnets fixedly mounted on the base plate to be spaced apart from each other by a predetermined distance and configured to have opposite polarities on the upper surfaces thereof; a coil part mounted to be spaced apart from the first and second magnets, and formed of a wound coil, so that it generates magnetic force having a polarity that repels one of the first and second magnets when electricity is applied thereto; an arm rotatably mounted on the base plate by a hinge, and provided with the coil part at one end thereof and a braking arm at the other end thereof; a traveling arm rotatably mounted on the base plate by the hinge, provided with front wheels at both ends thereof, and configured to come into contact with the braking arm when the braking arm is rotated through a predetermined angle; a control unit configured to perform control such that current is supplied to the coil part in a predetermined pattern; and a power supply unit configured to supply power to the control unit.