An electrical connector includes a first connector having a connector plate and a plurality of electric contacts thereon, and a second connector having a plurality of electric contact elements provided on conductors arranged on a board. The board is formed with slits around the conductors to support the conductors elastically by parts of said board surrounded by the slits. The first and second connectors are brought into detachable abutment against each other to electrically connect to electric contacts and the electric contact elements of the first and second connectors. The electric contact elements of the second connector each are provided with at least one ridge, preferably plural ridges facing to the electric contact of the first connector. The ridges preferably extend in parallel with the direction of sliding movement of the electric contacts caused by the elastic support of the conductors. With this arrangement, after repeated connections between two connectors a great many times more than thousands, no foreign substance can adhere to the electric contact elements and no longer is there any incorrect electrical connection between the contacts.