Disclosed is a connector having a terminal which is rendered into an electrically connectable state with a counterpart terminal by engaging with the counterpart terminal; a housing for accommodating the terminal therein; and an arc suppressive member which is provided at such a position as to be electrically connectable to the terminal and rendered into contact with the counterpart terminal when the terminal is being disengaged from the counterpart terminal so as to keep on electrically connecting the terminal and the counterpart terminal. The arc suppressive member has such a construction that an amount of discharged arc when the arc suppressive member is detached from the counterpart terminal is smaller than an amount of discharged arc when the terminal is disengaged from the counterpart terminal. With this arrangement, arc discharge at the disengagement of the terminals is suppressed.