A connector in which a large contact pressure between male and female terminals is obtained. The female terminal has an elastic wall portion that is outwardly pressed by the displaced elastic contact piece to be displaced. The elastic lance is disposed on the side of the elastic wall portion of the socket portion so as to be outwardly pressed by the displaced elastic wall portion to be displaced. The displaced elastic contact piece is pressed by the displaced elastic wall portion and the elastic lance, thereby increasing the contact pressure of the elastic contact piece.